{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch \n",
    "from torch import nn, Tensor\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Flow(nn.Module):\n",
    "    def __init__(self, dim: int = 2, h: int = 64):\n",
    "        super().__init__()\n",
    "        self.net = nn.Sequential(\n",
    "            nn.Linear(dim + 1, h), nn.ELU(),\n",
    "            nn.Linear(h, h), nn.ELU(),\n",
    "            nn.Linear(h, h), nn.ELU(),\n",
    "            nn.Linear(h, dim))\n",
    "    \n",
    "    def forward(self, t: Tensor, x_t: Tensor) -> Tensor:\n",
    "        return self.net(torch.cat((t, x_t), -1))\n",
    "    \n",
    "    def step(self, x_t: Tensor, t_start: Tensor, t_end: Tensor) -> Tensor:\n",
    "        t_start = t_start.view(1, 1).expand(x_t.shape[0], 1)\n",
    "        \n",
    "        return x_t + (t_end - t_start) * self(t=t_start + (t_end - t_start) / 2, x_t= x_t + self(x_t=x_t, t=t_start) * (t_end - t_start) / 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "flow = Flow()\n",
    "\n",
    "optimizer = torch.optim.Adam(flow.parameters(), 1e-2)\n",
    "loss_fn = nn.MSELoss()\n",
    "\n",
    "for _ in range(10000):\n",
    "    x_1 = Tensor(make_moons(256, noise=0.05)[0])\n",
    "    x_0 = torch.randn_like(x_1)\n",
    "    t = torch.rand(len(x_1), 1)\n",
    "    \n",
    "    x_t = (1 - t) * x_0 + t * x_1\n",
    "    dx_t = x_1 - x_0\n",
    "    \n",
    "    optimizer.zero_grad()\n",
    "    loss_fn(flow(t=t, x_t=x_t), dx_t).backward()\n",
    "    optimizer.step()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MD/L+QX4nkva9An4lrc3jN+brrmldRUwvUd0b0hobgvY7GAgG4mfStvEb061rd/6UUUVPLvUacCXZEShPpWojmbRVvOKsVzspTB/X67Ve73Hv2u2y/KpzE7NQIEljvEA5SOIYZlRzRSq6WNHW0SM796m/C694efRYnyzbuCvy+Ji0MRUA6bamfa/ycXt1YV172iQeMX4HIM1UcU63y8+a9r25eLfi2T201wCUBV1hIJXzW2rlHz94hqxp3yvPvnRAfmtYpd3OnsQuIrK8bbeIiNy5KEO7ErGINZHdryNHjsiRI0dyfz948GAJzyZZkjBQGXRAzs+5J2VbNBJ4kESVHiPjqNyWxIlVXRwUEc/JlrRNnMQd84O8fxJ/J2Cm0mNkUFEvloyqLeQn5quudRGRmx55JtAORkmKA6VoWwbpd6Tt/lOJiJHlwatt4zemR3nt+o1XJklMtL9QLMTI8mca77zirFc7KUwf1+u1maYaWZhpyE0Y6c6jddroRIxJJmWMF+EQH5MjSf1UEe+4qmsb6uKonS5WuC2CdI6dOuPP1MahctMjz2jPN6ikFKBCaRAjETW3OKeqLmxnEo8Yv0MxESMRlbaOHlnTvlf2HDgsSzfsyvvZvWu3y22XnKlMZF+ycpv2PZ3xkRwfFBsxEiacscm0ErulYdig3CLJqqoTIjsva2zSPkZJuxJRSVQi+ze/+U255ZZbSn0aiVTqgcowA3J+zz0J2wwHSeC5YWkbgRqxIkZGX7ktqROrzji44tk9svCeP+R+rqukkcaJk7hjvt/3T+rvBLwRI4OJcrFk1JMhfmL+zQsmS3Ntdd7EtEiwOJiUOBDn5JLbwKzftnta7z+VhhhZPtzaNn5iepTXbpB45ZXERPsLxUSMLG8m8c7eNnKLsybtpDB9XLfXOscdvc4jCZIwxotwiI/JkZR+qoh3XHVrG+p2Trt6zulyet0p2lihWwR5/bzxMntivXLsdPlV58qO7l45eqwvkrEClSQUoELpECPTo1QJin6Oa7LYWxdb2jp65OENna6v0cXu5tpq6d+virYaIkeMRBRMkjZ3739DWejIy8/Wd8iO7l5Zt7WLHB8UHTESXpzxz6u4hYqzHxwl57kwL4yoJCqR/ctf/rLceOONub8fPHhQGhsbS3hGyVHqgcowA3JBzr1U2wxb/CbwqCaTog7UrAQFMbI4sqU+gb+y4qBpklEpJ07Cxqe4Y77f92eyPZ2IkcFEtVgyCcnM/ftVKR8PEgdLHQfi/D69Ek5VbffWTEPuPuM8PhP36UCMLJ5i9Nt0bRs/MT2qazdovNKd66JzRsulM5qIHygqYmR584p3uraRKg6ZjnGG6eM6X9vW0SNf/9Vz8lTHftfXJXUBUKnHeBEO8TFZitVP9WrPusVVEXFtG+r67afXnSKt00Zrz0l3zDEjqrXHHHhilcyeWB9rn7XUBahQWsTIdChVFXK346rirMmOFarY4pXkefRYnyzbuEt27lO/fxy7VQAixEj454yNJgt8RER+t7VbHrnqPbl28s59va7V2C1LN+wqqPAu8nbbVUSYJ0ZsiJFwsmLgC12vyZM7XpX1L/bk/dxvEnspMC+MKCQqkX3gwIEycODAUp9GYpUyoSbsgFypk4FE1I1f3fn4Sb5v6+jR3jSiCtRs9wYRYmQcSpV46SfByXSypVQTJ+Uan5hsTx9iZDBRLZZMQjJz0Dioi8mljANxfZ+m9z17233d1i5Z1rZblv21veuM80zcpwMxsjiiaBeFSYT3E9OjunaDxivdud5UBu1IpA8xsry5xTu/YwJtHT0yYeRgue2SM4tSudIrMen6eeNlzIhqJtYRG+Jj8sTdTzVpz7rFVa+2YdA2aJBjLlm5TZas3CYLMw2Bjmmi1AWoUFrEyOQr5fyP7rgrnt2jjLO6HSssqtjileQ5tXGor0qcVNJElIiRcOMc/1S1QQeeqF4A6fRUx35p6+jJKxBnksju5u5VW2XVlq688ymHuW8kBzESdia7T0Rl0TmjpV/VCXJW4zCZMHKwdhczN62ZhtycsR3zwohCohLZ4a1UCTWZphqZ2jhUnu48kHtsauNQX+dSymQgZ+B3fhZV49M0+d5tlXwUgTrMQAtV3AF3pUi89JvgZDrBU4qJEz/xqa2jR9a07xURkdkT64lJQIJEseAwCcnMfiuJiyR3MU5c36ef+5719xsf2pT3uDPOM3EPHBfFBHkUMck0pquuXRGRFc/u8XX9holXSVjw7hd9bCB+UV9nbm2VZRsLq6+JqNtGqhjtVj1Yxc9nM6k+R98aQJS82rP2GOa3D2i1DYP2H8P0O5e37S7Yhj3KPmvYNi3tSyA+cc7/uF27uuOuad+rjbO6HSsuPKNeJp86RGZPrC/4me44F55RLzUnD1BWGvYS9dwYMQ6Ak7NvPa1pmGx07EDmN6HTHrtWPLsn9Dnak9it82GhD4AoWW2ko8f6Qiexv6NhsPxl9yGj5zp3w7XvDuR1HnMn1cm1c1sk01Qjz7x0QLbufbst6jd/FNCJNZH9tddek23b3l7ttmPHDnn66adl+PDh0tTUFOehEYKqU9nW0ZOX+C0i8nTngdzqxlKfn9fznQHX+Vl0jU+T5HvdBH1rpiGS7yboQEtSE7OAJCl24mWQBCc/EzXFTgYyjU/OeLRk5TZiEpAwYRccRrHoMQp+KokXuyqTnzZsXMnhfu97pnE+jcmoQNTCTpBHGZNMY/r8KaNCHzNsvAp7/ynmpLjfPjYT9oB/Ycay3K45XVvFtG1UisVKboUzRKIbdwQAi1t7VlVBePlV5yrj7pyJdbK6/e3kH2fbUBeTvdpOqte1dfTIXSu3en6281vqZPHMsbG1zYK2aZnDAeIV1/yP7tq1JySpbH75oPJxKzapPP7cXnn8ub3KORW31wQV5dwYMQ6Ak6pv7UxiD8KKXSYLwoMq5u7DAMqT1VZct7Urb6F1WLMm1hslsrvN21j97TXte5W7Wtx2yZmyaPrxPN8blrblJbGLvJ0/KiK54pYNwwYVZUdLlJdYE9k3bNggc+bMyf39xhtvFBGRz3zmM/LjH/84zkMjIF2nshRVi1WCdHq9Jn7szwvyWXTVP+9YlPH9XipBBlr8Vklmch2VqthVZIPGUj8JglHtfmGPDdY5Oo9tEp90gwZRJYsSw4BkKOaiR6/r3rSSeDHbt0HasHEkh/u97/lph5Zy9yUgCcJOkJeizx3kmKoYXKrFLMWcFPebxMqEPeBfmGRxk2tO1VYxbRuVYrGS2/0jynFHAOUj7BiZLu6oKsRZMcy+M4UzFturtTk5Y7Jp28n+Oj/br1vfSZL6rMVeXA9Uojjmf3TX7isHD+clJDkLfojoE8ytGKXaNc15HK9dEv2YO6kur+pwlHNjxDggvaKYd3W+h/X3nfvM8nb8sMcuK3kyDsXcfRhA+fHTf3XTWHOSdPYczv090zhUvjh/khzryxbkLH565thcXDTZ1dHqMx95q6+g/Wwlsbd19GiT8O9auTVvUbsd8yMwFWsi++zZsyWbzcZ5CETIrVNZ7KrFKkE7vabnGOazOCfuRUSWbdwVySR+kIGWoFWSuXmgEhUz8WbdVnXDzST+FHOyxa0hbY8TJvHJbTFR2MQsYhiQHMVKwDS97k3Op1jtW9M2rGqAOI7Y73dxVDEXfAFpFvZ6KUWfW/feO/f1KhciucXgYicGxTUprpus83OfY8IeCCZoezLsNWfSNtLFy3Vbu/KSOHWCfDbVfcUtKRRAZQsyRuZs9+jas/37VSlfb49hqli8akuXXDu3xfPcg8RxP9U2k9qHTUrxKKDcRT3/o7t2nQk9T3cekNsuOVN2739DWdXSYsWoto4emTBysNx2yZnSv1+V7NzXq3yd2y6JutfoXDu3Ra6d2xLL3BgxDkinKOZdne+hWtgThevnjTdKzHQ6dchAefngEe3PWzMNUj/kJOZEAEQmqt0iMo1DZfnV58nSJztkU+d+OatxWC7BXNfmDRK73NrPbrk/uiR2EeZHYC7WRHaki1unsnXa6JInsQTt9KoGYJ0N5ig+izXYG0dipd+BlqBVkrl5oFLFkXijWm2uWp1YjO3A/aye92pIO+OEV3xyS74Kk5hFDAOSpRgJmH6ue5PzKVaStkkbttgLc/zc90pVaRlIozDXS6appqCfOrVxaKTV0FSDmKrqbUtWbivYtjxpba84JsXdYrGfpH8m7IFggrYno7jmvNpGmaYaWZhpKOjTL2/bLYtnjlUuaLHH3KCfjXYYABNB2mm6do8q7ljbgzvZY5guFt+1cqv86PIZrucfJI6b7MIbNLmpWJJQPAqoFFHO//i5Rvv3q5IxI9TPHzPiZPnOoqnaeeX5U0Ypk9Lddkls6+gxTmS3j4HGESeJcUD6RDH2p3qPKJLYR1T3l329R3N/v3LWOLnhgokFz5s9sd4zDlpJ7JNPHSybXz5U8PPzWuqkddpo+uIAImPSf50+Zph84l1j5PfbuuWRjS8V/PzqOafLF+dPEhGRRdObcgnsdlG2eXXvpWvLnTNmmGzYud/1PZkfgQkS2ZHj1aks9eRJmE6vbgA26s8S5+S+n5tOmCrJ3DyA8FQDjxNGDlY+97yWuqKfi1typElD2hkn3OKTLkEqbLJomGp9DDwA0StGUrif6970fKJo31px5eixPunfr6rgfbzasElLDlUpdqVlIM2CXi9tHT0FEztPdx5QVkb3y609aMXBNe17CyZ67LGoWP1H07Za1JPiXrHYT9I/E/ZAMEHbk8W65s5vqVMuTl/TvjfvHHUxN2hbOWw7jD4wUP78ttNM2j3OcT+vGKaLuavbu5TtWXtsChLHvWK8LrkpSYq1uB6AmkkbyXRBeGumQZYp2olusWrnvtflJ0+8KCKijMnNtdUyZ2JdXmVLVYywn6PI8R18Vm1RV8NszTTIeS11RWkXEuOA9Ili7M9kjllEZNE5o2Xphl2ezxsy8EQ5eOStXBJ7Y80guesTGW2ujy5GNw4/uWDcU5XELvJ27HbriwfpZ9M3ByqL/Zpft1Vfqdzy5M79cvbY4fKe8bXKRPbT606J4zR908XZT88cKwvv+YPra3U7AYsQI/E2EtmRY9KpLGUSS9hOr2oAthQVN4slaJVkJteBcHSTQbddcqby+XFec0GSI03Ox+852xOkREQahg2S/v2qQiVmBYlhJkn9NJKB4KJe9Oi8HnUdfd11b3o+qjahaSxwxhWLPb54tWGt2OjkTIryi3gGpEtcfUmT9qBJonox+o9+FmBGPSlu8v2bJv0zYQ8EF6Q9mWmKfkcLVTtKF++WrNwmR97qk5sXTHaNuaUoEFLMXX9oewKl47edFqTd6RXDMk012uRJkwU/fttOqvbWOWOGyXvG1ya6CrtTqYtHAZXKpI1ksiDcfu3WDzkp7/lzJx0vYOQWH5e37Zam4Scrz/GmR57Je69r57YUxAjduKSIyJyJdfL+d4yS3fvfkD0HDsuooScVPT4S44B0CTL2Z7obmdO0MTVSUz3AdYdwEZGDR97K+3tnzxvy/CuHZMWze/JeuzDTIOf/daGOKvYs26hOmj+7aZg81bE/93e3NujSJztkU+d+eWn/G7L2+e7c4yb97GLvyAugOFRjYW0dPXL3qq3ahYVu3HKKjh7rC3WuQejG+nRtPFUhIDtVUSARYiTykciOPEnpVPoNiEHfL2pJSw73WyU5KZPrTH4hzXSTQf37VRX9mgsyMaWrNmkJes5WPLr1sc15g7BBG6J+Y5hJEheNZCC8qBYKOq/HhZkGZQXM1kyD5+S23/MxjQWquGJxxpdit7GJZ0D6xNWXNG0Peh0/bP/Rq49nugDT/j5RxlbT798k6V8kOWMrQBr5bb9FvaOFrh3l1le24pVXfChmgZBi7vpD2xMoLb/tNL+LxO3H0bXLMk01cu3cFuVkvcmCn+VXneu77VQu7a1SFo8CKpFJG8l0Qbhq/tpKXLL+XDFrnDY+mlq1pUuundvi+TnsVrd3yXXzWmRHd2+u6rEqcUgnqnlaYhyQHn7blKa7kans3v9GXsGIPQcOG1VoFxFZufkVefy5/OJAy9t25+aP7H14i66d+1TH/rwk+EyTutL7xd/9XcG4g8Wrn52GHXkB+KeKgSKFO+34pcopEjm+yHFHd2/Rxtu8xvqs+GWNhWaaaozjuj0GEiPhRCI7CpS6U2kSEP2cXzEnU+JKDo8rsTuJg71MfiHt3JJgWqeNLuo1F3T1/ISRg+W2S86U/v2qcs+N4pyjboj6iWFeCQU0kqPHoiQEpboeVUnsIiLntdTFfmxdLPDaJtOZJKprw86eWF9Q2dd6PAjiGZBOUfYl7fdgPwnaXsdXtb1M7veqxUnnO7YzN0kOv2FpW979QDUxFZSf79/Pd0rcBeIX5Y4WXu2omxdMloEnVinbblYsVImywIVpPyvqnT50x/Xb9qSfCMTDdIysraMn0CJxJ7+JSyYLflqnjfYdF8K2t4hJQOUxaSOFaUc5E9at+Kcr0tEwbJDMmVgnq9vdE92dx/YalxQ5viNGkDHCtMzTEsOB6JmO/bn1A03YFzpa7+ms0D57Qq2ssVU+t9ScPMD1vVVxzm1h+vK23bJ45thcMTZn/GuurdYmsVvc7g9x7cIJoHR0MTAKVk5Rc211XnFI6xjFmOsNUyDS6qMv27jLdYGSFQOJkXAikR2JEnXiTSkSeYIkh7t1tuMeMEjS5DqJVygHXkkwcV5zzlgSxer51mmjc+cdVhwNUdPv0yuhgEZytNIy2I1kMpmIsUS9642fWOB1bNNzU8Xq1kxD3ip2P/zGMyZ9gOSIYqGxKmk8yuPb214m93vd4iRnlSSvtpoziV0k+r6i6fcf1wJ2AMGETR63t4VM2lG6RYhW3Ihz9wo//awok+rdjuun7Uk/EYiXyRiZ7pr1WiRuj08ihZP0Vrss6IKfnft6PXfSMOm7+unfEpOAymTSRjp6rE/5HN3jVuy5/487lT/f0d0rdy7KiEh+sY6pjUPzEpTmTqqT+VNGFSQtqc5bt7uGCbc5j7TM0xLDgfiYjP3dtXKr8rWqBTQ6JrvaOiuhZxqHyqUzmjyrt6vinFc71Ton5zleeIZ3wSG3fnYxFrwDKC4/89h+2McQ+/er0h477jZZFAUiTefQiZFwIpEdiRJ1ImGpEhP9JKq6dbbTMmAQFRJJUS5KsduBLpb4qcgUd7wpZUPUK6EgKY3kckgorbR7F6Knu+6clYviSBr0Ewvcqnj4PTd7rF63tUuWte2WZY4kT1N+PoNpEmra4xKQJmEWPfrZ0ULXxzI9vun93mtQ1/4aXVtNVznU7XMEZfr5k7i7GVCpwiSPO9tCsybUKp9nT1ryOl5Uu1fMmVgn181rMap4Z3+O/ThRLLrxOq5pUir9RCAZgox/qeKTitUu87vgR+R4Vc4lK7dp+79eMVL1HLe+NDEJqFwmbSRd4pDqcWfsUbFi7J2LMrJ45ljZ0d0rR4/1FSSsr9rSJdfObfE8P7c+sv01bvFYJw3ztMRwoDh011pzbbXnLhKmvHa1/cXV58nSJztkU+d+OatxmCya3iS3PrbZ8311cc4tLurin1cF+LmT3BeEUhADKD9R5o/cdsmZ0r9fVcGYYSlzV3THWLe1S1qnjTZqL2aaamTupLqC3YpEjsdN+/OIkbAjkb0CJTkZJepg7PV+pf4uvDrbSRkwKNb3lJREUiAKxdztwCuWhKnIFGW8iboh6jc2uSUcJaGRXC5VRJJy70J66a7HmxZMzk32RNUmCbuTxfwpo2TgiccnsRqGDVIONpiyXnPjQ5vyHvc7EWP6GcJsDQcgmYq5o4Xp/d7kONZrdG01t88V5HNE1b8tZnsfgLuguyM620JrFduWixQmLXkdL4rdK1a3d8nq9q7c873iru44YRfdeB3XNCmVfiKQDH77vLr4pGIt+jFd8LOmfW9BIpGq/2sSI/0mNRKTgMrm1UYynatUxR4ne6KOyNvtxGUb1dWE71q5VX50+QzX89PFsOvnjc/9/+yJ9b5ivpUoWlOtTthM0jwtMRwoDt21tqlzv/LxuZPqtIniOiaxZdH0Jlk0vUlEzOJua6ZBGwvc4uLzrxxSvubSGU3S/sqhvMrwE+qrZfTwk2XVlq7cH7e5EwpiAOUl01QjcybWhV7Uc+Wscbn4pjpGqXJXMk01BcXlRI4XTVo8c6xxW/nauS3KRPZr57bk/Z0YCTsS2StM0pNRdJMfK57dEzghSBfck/BdeHW2k5DYXczvKQmJpEAaRTFw5xZvolzM4rchqjt20NjklnBUykZyOVURScK9C+mnux6jTBoMu5NFHG2kqCZiTD5DFFvDAUiWuHe0sLfLTO/3uj6+7jWqOK871tljhhme+duSMA4AIB5+24lhF/+YHC+K3Sus53v12b0WtwdlEu9NklLpJwLJ4Wf8y0+stC/60R3D3p4cM0J9/Tv7vyYx0rQvXepEzVIXVgLwNrc2kulcpUmMvHZui/La18Wb1e1duV1tdOene23Hq6/n+v72BYVeMf/i7/4uL0GzbvAA6Tr0Zu7vSZunpV0JFIfumjqrcZg8sL6z4HGr/9lSXy1b93rHR2uhj5/2kVfcbc00yB2LMq7PUcVF3e4aVvxzVoafMHKwLLznD3nP9Zo7oSAGUF6um9cSKpH9tkvO1CaxW+LKXTGJu+e31Cl3ANrR3Sut00YbtZW92tSqYnMAiewVpJjJKGEG5OZPGRXpeeq29E1CYk7SO9ul+J5YbYW0ScIERBSxRNeQXPHsnsiTfUwborpEozhjU6kayeVURYRFSYhKnNdj2J0s4opDUbYNvT6D17HKKS7FLQltAUAk3h0tVO0y0/u9ffcK+8S622u8PpeIyFM798vCe/5g3D71E7u5roHyF9fiH3v8iGr3Cq9Jojt/06583Zr2vZH0kU0np9w+r+kkF4DiMO1v++mLqhY0uhWlWJhpMHofkxhp0pcuRqKmWxuSBZVAupjMVXrFp9ZMg9y9amteJUrr2s801cjcSXXKKpVr2ve6HlfVPmvNNMgyR7KRycLGpU925MVGEZGuQ2/K1XNOl9PrTklkn5j5B6A4dNfaoulNsqO7t2CM7aZHnpEfrNtulMQuIjJ0UH/f7SNd3L1+3vjcThQm7HFRV+XdmWQ6YeTg3I68zJ0AMCngIyIypWGw9B4+Ji+++nruMbdK7KrjRBlXTOOuVx/bNK9P9zz6x9Ahkb2CFKtB5ZZ4GKbKR5jzdAZ302PEPXnt1dkudSO4VMdntRXSIikNLF1D2e9uFs6GpIj4XlEeFbdEo1LGxrjuC0lf2OQXi5LgRymSBcPGEd3rvSaavEQ1EWPynXodq1RxKW3Jo0lpCwCWOHa00LXLll91ruf9XnWNLL/qXN/XuUm136BVm5yx3+u6TlucAqAWx+KfoEmamSb1lr3O55eqn2V63KgmuQAkhy5WZkV89VtV7cnlbbuNFg+teHaP6zla8cStf1uMRE23NmSQxfC0OYHSU/WjndemKqH8vJY6Wbe1qyCxXCT/2r92bosykd3e571i1jhl+8nZrtrR3as8ntdY56bO/crHe3rflNb5o7WvKzXalUBx6K61mxdMlubaarnpkWfynm+axC4iyv6vPUaq2kK6Nt8NF0wM8vFERD9eaN9tKGhfH0B508VCu3c0DJXbPnpWIvp3fvqlJvPVpnNOzufpzqO5tto4wR/li0T2CqJrOK3b2iWt06LpjOoCzisHD+c1Rt0SPIqRNGNyjGIlpbh1tkud2Fjq4wNJFmdV8CAN2ah2s7A3JJdt3KV8TjESxt0SjUoVm+K8L5RjFREWJcFEqZKAw7aLda93TjQF+SymEzG6e4Wf79TtWKWIS2lLCk/KLk+obLpJnSh/B70q7LrFKd01EmQMwqvar9dnNmlDel3XaYtTAArZ42aUi3/CJGne+thmbRK7ySTR7In1BYt87Ofl57Po2pgm30mUk1wASsskVvpJINS14c5vqXNdPKSrkGmxxxi3/m3ciZpebUjd5394Q6eIiPK+QJsTSB7dtanaFfzGhzZp38fqv5pU8rx37XZtPDBpVzn7u84YeVbjMHlgfWfB62qqB8iyjbsSnSROuxIoDt21tnv/G7Ecb0d3r+tu4VEvZPEaLwzT1wdQ/uyLXlSWbtglNdUDcjvylJLfuZW4Fg7qzuOmR56RHd299H0rHInsFURX3Wd5225ZPHNsJEFHF3Ccx3RL8ChG0ozXMYqdlKLrAJQ6sbHUxweSLK6q4EF3tYjjfEyTfSqhQnkx7gtUEUGlieO6Mo1JYdvFphNNQT+L10SM273C73fqdqxixqU0JoWXevckoFgJLkHbZW7XiPVfv7ElTBvRpH/rdc5pi1MA8uniZpxjokGTNP1sja5rmy5ZuU2WrNxmfH+I4r5CvxZIP9NYqaqqprv2vRaT62KFLrZeeEa9TD51iMyeWO96ThZdouZZjcOU7++XV99Q9/kfWN8pD6zvDF29HUD8vK5NK4F92cZdsnOfe0Vie0ywt53+tH2fLN2gLi5kP2ZP75ty6Ywmz4IUIm/v2quL7YumN8mD6/N3ragfPEC+u/qFgudGKQlVSQEk09FjfZ5toSgXsniNFwbt66cV8Rnw54Wu1zyfk5T+XJC5lTgWDrodLynfFUqHRPYKc35LnbLCT1TJFn4SDN2OWYxJD7djJCkppdQTQKU+PpBUcSRah9nVIo7z8eq8l6pCeSkqxRfrvkAVEVSSqK8rVUxya8OEbRfb20g79/Uqq2Ba7xXl4J/bxFkcscotLkX5uZLU/jaVtEVXqCxRJbiYXMeZphqZ2jg0b2J7auNQX5Xf7NZt7cqrTuenDRl2sfX8KaNk4InHq6SoEkTdrus0xqk4MbGFtIk7MdAtfri1p3Sxxf4zP23TNe17C9qlJp/Tz/fjdf3TrwXSK2isdPbH50ysk+vmteQlGwVZTK6LrY8/t1cef26v8WIdVaLmhPpq6d+vyvfOFX7O03rcazG8SfX2Sm1zAkmxpn2v8vGfre9QJor7YbWdvBLgLUs37JKlG3YVxD/drr3NtdWusf0XV58nS5/skE2d+6WmOj+J3fncKASdV6IPCiRLx6uvh3r9lbPGSVakYIxPV904qraQKpa45cME7eunEbsCAf60dfTI8o0vGT03Cf25pBSy9eof278r2n+Vh0T2ChN3soUq4LRmGmSZIknI65jFaPjpjpG0pJRSN4JLfXygUoTZ1SKuhqeu817KCuWliNFJuy8A5cCrIpsfupjkNugWxXVtr7ikSmRvrq2OfPDPbVK7mLEq6s+VxjiblEEfVKYoElyc1/HCTIOc31JXMCjY1tGTl/QjIvJ05wHPpB/T8QG/bUiTxdaqAU7n5z3yVp+ysqjf6zquOJXkQVomtpBGUcRN67o8eqxP+veryrs+vapg6uhiiL1taXqNhUmANH0d1z9Q3oLEEFV/fHV7l6xu78qLEUEWk3tNcIuYtyXtiZov7X9D1j7fnVtc6TeWOdtpJm1Iqw378IZOZXV4r+rtSe4bA5Vs6YZd8uaxPmV809HFvdkT65XjizrO+KeL4Zs693uex6LpTbJoelPsRYSiWjBFGxQorbaOHs+4d+EZ9TJv8ki56ZFnCn522yVnyqLpTSIiBWN8bR09yveLoi3kFkuSkA9TyrFAdgUC/LlhaZuv9l9S+nNJKWR784LJ0lxbrbxHNNdWS1tHj9y9aqus2tKVe9y5YB7liUT2ChNlsoWuIaUKfPVDTooswcMabDyrcViugRuEW0OQpBQAXuKojhN2V4u4Gp6qznspK5SXIkZzXwCiF7Qim4pbJUuLavvJqK5r3XtZx3U7D7+SMKkdx6BmWuNsUgZ9UHmOHuvz9biT6jpe3rY7F5PtEzlh2n3Oa2RHd69yobt1DNNryW1ySbdDh2nc0l3XxYxTSZ6kZ2ILaRU2buqqbNqvTz+xxhJlkqZI8LaiyetMrv8kL8IB4E0XE/+0fZ9ysaO1Q5mOPUYEjU9+dkPzsmh6k0wYOVgW3vMH7Xl60bXTTPqG1mOqRHa36u1p6BsD5c4tydxPEpOIPu6ZtAud7PFP975nNQ5zjTsm5xZk3FHVLoxqwRR9UKC0TOZjrpw9PrfY2tmusef4OMf4VLFw7qS6QOdpj0Mi+rka6zOp2nBecSuqPnCpxwLZFQgw5zeJPWn9uSQs3BE53j933iPmTqqTnzzxovL7VS2YR/khkb0CeQ2omTS2vBpSXoFvy55DgbZsvPi7v8tVgntgfac8uL5DfnH1eb4biCYNQZJSALiJYkDPpHqP310tVPE37AIgVYwtdSJlKWI094VokNgAuyAV2Sz23yXT2ON83yiva9V7xVHFyG1SO+6qSfb3i+M4aY2zSRn0QWXRbbOre9zJa8IpiqQji8k1sm5rV64ipkjwyRrdBPfAE/1tS6w752LEqaRP0jOxhbQKEzdV16XFfn0GvT78JGl69adMEyCDVBP2+nylnngHEJ4uJi7dsEuWbtiVu651i3tUrBihizPPv3JIHt7Q6Tpuab3ebTc0i1ecDNOW8WqnmbR7TeJtWvvGQDkLkmSu4pXIZF3/a9r3GlVnt8c/XXxRJQnpziOqxTS6dmGQ8YWgcZt5CCA+XgvCWzMNuesuSLvGes1dK7fK6vYuWbXl+B8/fUxnHNIlw1//szbpePWN3N/97Oyr2u3yzkUZz3NzxqckjAWWet4fSAuTHSksk0cNlm+0npmKdkip2k2qeO8lSXMlQdBGdUcie4XSDaiZTDjoGlLNtdXKgUbTrSW9LH2yQ7md+Wd++CdZ+3y36zmbnL8q0KU1KYXAB8TPZEDP7Vo0rd6z4tk9Bce2DwB4US0A+ucPTTGOEbrzTEJ1oFLE6LTeF5KCxAY4uQ2O+Y2hJpNJquM5r+ugi3+KuehHN/hbrMHGOI9DnAXMBI2f1s9MKhB7JR0FuVZNF24GHYw0qQhlFyRuucWpKPriSU8UZ2ILaRUkbppUGxZ5+/oMc32YJGma9qe8EgVM3ydr+Dms77DUE+/FxNgrypVXvLLmgfwkcv7y6ZekddpoESmMT7f897Pyvb++1wPrO+UH67bLlbPHB16sYxLfwsRqv+00P7saO9E3BpJHtfuOlwvPqJeakwfIqKEnyeyJ9UbXtdsCSTtVv9wZX0RElm3cJfOnjDJOJA27mMarXeh3fCFIO555CCAebR09uWRDN8vadkvP60fl/e8YJf37VUlzbXWuPeiH8zimfUxVHNIlR9qT2FXH0MUt67l2VnKrKpndilfrtnblJcFeMWucTBg5WHluxRwLTMK8P5AGfuYf0pLEnoR2k9d9xSkpcyV+JeG7TjoS2ZFjOuGgC8w3PfKM7OjuLbjI7lq5VXtMPxMamzr3Kx+3J7Fb7znwxCrtgEDSJ4XDIvABxeM2oOd2LZpW79FVfVvWtlvqh5zkeW3rFgDZt891ixFe55mm6kBMMpdepSU2wIxucGzFs3t8x9DlV52bi0nOwUARs0VAQRf/lGLRj2pSu1iDjQxqAqUXJH46Y9XUxqEFbUU7e7K7qt0XdOHP/CmjchXSZ0+slx3dvcodiIL00XUT3A3DBvl6nyCi6osnPVGcewDSym/c9FNt2IqXYaoNe52niH4bdD8JkG4FSrze3+36L9bOQEno2zP2inJmUnF45eZXfL3n2ue783bnteKTatxy697e3C49CzMNcn5Lnef1bi26MR13CtOW8dNOC7urMYDk8btwWkTkytnjtQvMrdihatvo4s2ic0Z7JsVb8cUrDrm1q8LEKK95eL/zSn7b8cxDAPHw00cWebuwpcVvvylMTo/utZNHDZbNew4ZHdtrEaKuD7y8bbcsnjnWNWfA7t612+W2S85U/qzYY4FpmvcHSsWkQJBIesbLk9BuCtLGTspciR9Bv+skjIUWE4nsyDFtDLoFBOdF1tbR47lyxnRC46zGYfLA+k7P54mILFm5TZas3BZ5xY2k8xv4Ki3gAXFQDeh5XYu6eHvXyq3yo8tn5P7u1mgzadToFgA530e3o4bJfSENky5MMidDuS8kQ3CqSkH2BTci/mOoNfFt57UIKOjin6Qt+inW8RjUBErPT/y0/t/u6c4DctslZ0r/flXyvTXbZOve/PjqXKxub/dFtfDnyFt9ufNzClotXTXB3b9flfL5UbVDohzwTUOiOPcApJXzd/f5Vw7JTY88k/ecINWG7fEybLVhlaxE15/SvY9u/MBkAl+kOOOtSejbJ2GCD4ibdZ1//VfPyVMd+wt+XnPyAN/vqYpVXuOWy9t25xaomyQn+omTpm0Z5/yJaTvNJFYwNwMkn/M69duuUcWHG5a2FRTfsNjbNrp4c5Nh28crDkXdrrJ/VybtQr/zSn7GP5iHAKKnK7zmh99+U5g+pu45l71nbMEYgOnrnXHL7Tzs8cbku+vfr6rkY4H2OB6kej5QKVY8u8f155+c0SgfO6cxNW2OJLSbvOJ60/BBebtnmBSuS6Ig37Wzzb4w06Dc9aOckMiOHN3KIWfQ8KrKYb/ITFbOmHb8F01vkgfX5ycYTaivluf3+kv0LPWkcJwDlH4CXxImf4By5XUt6uLe6vauvApFXis6vRqQpguAdDtqlMPCHz+TzEwgxascfp8QH/sgoFc1R68YuqZ9r/Y4boOlQRf/JHHRj8nxooh5aVjMVErcV1AMpvFz5z51rNq9/w2ZPbG+IIndooqbJgt/5kysk+vmteS9zq1dFmUfXZWY1NbRo3xuVO2QqAd805Aozj0AaaWrUGmnqzbcPOJk2bHvdeXPVLuseVUb9hMro6rQpnt+TbU6MVU1LqG6/k3GW8O0jZKSQJ6ECT6gWFRJ7K2ZBrl0RpMs3aBud+qoYo+fwkUmyYl+x5282jKm8yfZgke8YwVzM0Dyqa7T+VNGyZyJdZ4F3EREbrvkzILiQW5J7CJvjzv271clzbXVofqFbnHIOpbz2EHbVarvKo55eNPxD+YhgOgFqZarex/TWBAmp0f3WtXncO5Y6ecYCzMNyrhujzem+VKt00aXbCyQtimgZ593fqsvK6u2uLcDz2oclqrxoTS0m06vO0Waa6tl7fPdIuJduC6p/H7XqrFQ655TzsnsJLJDRPTb2egaajcvmCzNtdXKFYtHj/XJso27XFdde72/zi+uPq9g+3KvbYzCVNywRJWEEncj0DTwJWXyByhXXguDMk01MndSnbKhu6Z9by7e6CpHOt9PR7UASCfswp8o4mQcCX+mk8x00uNX6oVkSA+v9oxbDH14Q6cc61NNI79NN1gadPFPGjr5TsS8+PEdoxTWbVUPojbXVmsT2Te/fFD2HDjs+r7OuGmy8MfaPtj+u+/WLos6cduZmBR3OySOewGJ4kB8vCqi6aoN65LYcz/3GS/9xMqoKrTp4uHpdadoj2vKLZaHbRslJYE8jW1/wIRzTE53zZ3XUudZ6MhJF6v8jFuKeCcnRtne082fqHbsUI2pup1nuc3NsIAb5Uh3nfqJe84k9raOHtckdot93t1qL/m5tqxr0m2OKsp2le67Wn7Vubl24dFjfdK/X1VeEaewinU/ACqR6t4eVX/H7/uEGS802clBROSfPzRFRCTQMaxEQnt8d1YK9vrMrZmGXFwuxVig37Zp2LYfbUekiVcuooqfcbRi8LrmktBu8lrwo1pEmsY+tO67FpFcjq398+i+l+Vtu2XxzLGp+ux+kMgO7eSNarW43aLpTbKjuzfvtVMbhxZ0sp0XYmumQc5rqQvcOFk0vSnvvOZPGeV68whaccMSVRJKMQYoTW8ySZn8AcqR6cKga+e2KJMwl6zclvv/hZkG7XFMG5DOBUB/3L5PO2AadOFPFHEyroQ/k0nmcptASrI0VBdF6am2ZTONoSaJ6Lq4EHTxT7EW/UQ1wGca8xhQDI77CkpBNylunzyxtzMtjz+n38XC4oybQapnZpr0O2rYFyrFeY2YtkOCxL8kDPgmAfcOpIXbBMmVs8bJhVNG+a42LBI8XprGyqgqtMW5c4UqlkfRNkpKAjnxHqUWx71WV3VYZee+Xln6ZIc8/8oh7ftdP2+8NAwblKso7Hae1rjlj3//omzeo39PEX1yoj35xx7fwiRO6u4TugVKd6/aKj+8bEbu726xwmsXujRhATeSzCte2qtrzp5Yb5Q0YmLSqFPkJsV1EOQ9TdpL9s+54tk9eddk0/BB0vHqG7m/W3HoJ0+8qHyvIO0qt/nm1mmjC87Jb5zQ/Tt6tclKPQ9B3xhp5by3L8w0yJ2LMq7FhUwF7TeFGS803cmhddrowMdwJrM7KwXr2q/ntdTJuq1dsqxttyz762tL0Zby2sHDHsvCtv1oOyJNvIpg6FiLl5PQDnC75uznWOp2U9CxvTT2oedPGSUDTzy+2GH2xHpZ8eyevEVW9n8jt+8ljZ/dFInscK3048U5MOis0O5cdR1H0POafDI5nu5GEmUSSrGSx01uMkmZ/AHKjZ+FQSbVi5a37S7YlmzupDq5dm6Lr7hhXwDUv1+VNpHda+FPW0dPwWrAKOJknAl/JpPMLO4pLqqLwo0ujl7omET3WwHO4tU2DLr4R1XdwxkvwwzSRTnAZxLzGFAMh/sKSsGtaqZItHEzSPVM3cKfuZPqCp4fdKDX5HVe7ZAw8a/UA76lxr0DfpVyUkfX97X33f3GzLDx0jRWWsewV2wLwhkP40zQjqJtlKQE8kqP9ygdP/da0xjrNibnHJMUUS+MtLty1ji54YKJXh8lz4SRgz2T2O2LM+3XoC75J2zipO4+oVugtGpLV0HCvC5WxD03U6z7Kwu4kWTOeOmcU3H+fMnKbcZJI1627HktFw/s12McCTpeVUKtJPbJowbLZe8ZK4umNxktgvcjzh0ovO57Xm2yUs1D0DdGmtjjlIgUXLNWvLhzUUbmTxnlK5F97qQ6mT9llNHixmLw2k09KFVcdcY63WLyGx/a5Pq6YtB9/nVbu/LOT9U38HO+unvCwBOrChaUAaXW1tEj31vj3vdVuXLWuNB90aCc/UC3dpjuHNN2Ha7b2iWt00aX+jSMOduIv9vWLU/t3J/3HGchPVXsFSnv3E4S2RF64My6gOJaxeimraNHu0W6V0V5i1uHMqokFLfzjGuA0u38kjT5A5QTvwuD7B3Xnft6lZNB57fUyeKZYyOrwquLRV4DlbpYGUWctCqfhHkPN14DmizuAZLDT0yxru2HN3QqJ5KvnzdexoyozlVhM42h1uKfto4ebbU1kcIYYbW/dNXsgk7cRD057BXzmIwOj/sKSsHk984rbtp5LZ60L/ypqR4gqzbv1SYgqc7hrpVbZXV7l6zacvyP1bYMOuEbxUSxSfwz2YqzEmMl9w74VezkDtWYmWpczGoD7ujulflTRsn8KaPkZ+s7lNXZLzyjXlpGDpbT605xbWfa4+Xvt3XLTltVTDvTWCkisX13cSVoR9U2SlICeaXGe5SOn8QPrwROO10f3Io/flw/b7zvJHa3c7C0Zhrkjr9WurRYn0WV/NNcWx26XeJ2n/j1X/YovxvVuIUqVsQ5N1PM+ysLuJFUqnhpb0vpdvn22n1RZdLIU2TLK68VPL6mfa8yQUhVkffTf537URWLE9G3l/xUCd2855Dc9MgzsqO7VyaMHKx8TuPwkwuKcphwi2m6vAHnLhYqae1jpvW8UZmc7YbJo9TxwUqg0xX8cQpSkC1uprupB+GnovnzrxyShzd0yvOvHNLmDhS7LaWK462ZhtxCUYuf3d51z1NZsnJbwYIyoJS8Fgo63XbJmbk5aBHJq64tUpx2gKofqGvzrWnfm7i2StDdkJa37ZbFM8cm6n6jo2ojOpPYLWva9+Y+k3PXD5Hyz+0kkR2RDZwVO2HD7QZiDSp68epQRvGZvM6zVAOUSZr8AcpFkJhhDYy2dfQoE9lNFqeYcItFqgkhO7dYGTZOup1XFPcPe8KCbkUmi3uA5PAbU6zrVJWQGaaKg9dAhW7xj1tygYrJIF/Ui328Yh6T0eFxXyl/Sdka0s70986aNFHFTfugq+nCnx3dvfLd1S9on6OLl87knzBJR1FNFHvFP6qq6XHvgB9hrtkg8Vd37d68YLI011bnduJZNL2p4LlNwwflKlnaXTlrnNzk4/q34qUuid1PrHTyWwEt7M4Vpu/jfM+o2kZJTyBPYhsB5cE08cMrgdPZdtH1tf0msYsc74PrOKt92q8T3TlcP2+8a79e953oFqT7bZfo5k+um9ei/H78jGN6zc0EiSXFTp5kATeSyi0Rxm2MznqtqnquLsn88vOalY+r5nnuXavfwdz6r3Mnn6mNQ33HQDf3rt0ut11ypvJn9nNemGnIJc2Y8LsDhWoXC6e07ihJ3xhpoWo3uO2QY5rELnL8Gr92bkvgcwvCre3kZzf1IEwrmtcNHiBdh94UkePzWS31+tcVu8KwM47v6O4tSGTXMW37eT2v1Im0gIi/hYIihXmJbsV//RbKNe0P6vqBi87xF0dK2VYJ04dMSxvLT9t9ycptcuStvly79s5FmcgKn6YBiewQkWiSmouZsKG7gXgNbjp5dSjDfqaoztPvMUwbekmf/AHSJkzMiDOGho1FbrGyubZa5k6qy9tOzvS83ToDUXx2PwOZLO5BuUtLQoXfWGh9LufWWmFiiNdAhdviH1283HPgsPJxr855HIt92jp6ZMLIwdqEVSajo8F9pXyVeqLULZ7rtqm1/92tApHfyZug8VIXK1dufkX5uNdgZFQLfuLcEr3cce+AH7oYsKZ9r+t9M0j8Nd1G94H1nfLH7fsKJudVSexBJrvd4qXfWKliEu+iun8FfZ9KaBuVuo2A8maa+OGVwOlsu6j64M5xPhNzJ9Vpr+sblrZpk5+s60Q1DqCr7m61b48e61P+/KX93jtfeHErjBHVGK5ubiZoLCl28qTb95CWMSiUpzB9EGdcsa5TXVLS7v1vGFVut7jtYN7W0ZOXxC4i8nTnAW3Cd9DP2b9flec5WzHbNJldd81nmmpkzsQ6410s7NK6o6TuvHfu6/VM3geKKWj1Wz/vX6zfd6+2k9/d1P3KNNXI1MaheTG8pb66oP1rJbFbtu7tlUzjUGlzxP5iVhhW7V7nRjUPJyJGO3qo2o5OaUlIRfnyExtVO5LFUSjXqz+oO2fV7pJXzhonsyfWa4trloqub/nbza/I1r3u/yZpmX/we57Odm0l5XaSyI6coL/49gZOsSYldMF4zAh/xzTpCLsl+hTrPIMcw2sCEEiqtA90B4mDzq3Lo/78YWOR6WryORPr5Lp55tvF6c4r6FbEdkEGMiupAYjKkraECtM46vxcCzMNcn5LXej4qYtNn5zRKB87pzHQJItuwMBvhWHT1+qofhfimpQH95VyFMVEaZi2rkk8t//eOZ9/9phhyu0Kg1YgChovdbHy8efUCelug3xRL/hxTrJ7bYnOBMtx3Dvgh+7atE+iOOObLv4211a7xi+3MTPn+5lWmAsy2R2k7+snhnk9N6pEH5P3cbvPlXPbKKnJVCgfpokfXvFA1XZx9sFFxHci+9BB/ZWPuyWxi7wdy00rlK/b2pX3fo01J0lnz9sLx1szDcrqkWePGWb8WUza3HHNg4WJJaVYWKj6HtI2BoXy4xUvZ0+sl7XPdxUkjYuI3PTIM7Kju7fgd3bdVnVMtHbEuH7eeGVCkNPRY33aZD+/i1FUn1MXA+2sBTrWtbtzX6/y3E0TKZ1x3nnNB93FwquPGeXinSjnJHW/f84dVIBSizvxr1iJhSZtp7jbSKqFSF6Jl5aT+vdTPl6M8Ua3NpsuBt+0YHJeVeAVz+6Rhff8QfkeKlbbcU373sQl0gIi/n4HG4YNKngsjkK5Xv1Bk3N2FrdM4ji+s2/5kyde9IylSThvUyZjOk6VOvdEIrsPaU+ujIOugRP39xNVg9PtRmKS6FOs8wxyDLcJQCCpymWg28/kbDE+c9hYZDoourq9S945emjuNUHPy20rYlNuCQvcw1FJkphQYdKmVsVRe9W13fvfUCYfRVGpQhebvJLYrfM26YguOme0XDhllOtzol7so/tdGHhiVcHuHJVQMRMIwmui1Cu+hWn3+U0etH5up0piFwlegShovPQzaNeaadC+V5QLfpz/NnMn1cm1c99eoEnFcW/cO2DKJAY445su/uqSjSxxXKNB3tNP39cey01i5aRRp+R2ptBdd3et3Kp83O+EiNd9sFzGdIIodiVkVCaTxA+vGKurCOvsgzurLVqunzde/vf5LqPKkW0dPUaLhOyx3KQNbWdPYl+YaZDzWuqUSZxP7dwvC+/5gyzMNLhWGF76ZIfxGIrp+K+fecUwsaRUCwvt30MSx6BQmax4edfKrQULlUVEmcRuUfWzvRbk3HbJmUbnddMjz+T+31kUKEif09kH07X5LPaYYF27bR092iR8r9ijWqykqh4ZNDa59TFNCtWZxN442q9u92tiIpIiSEKdypWzxklWpOjtD4tJ20n3WVc8uyeS8wxT3X7amBp5YvurBY/HPd5o0mazxzKRt8cv7PePIO0+6/VH3upLXCIt4Cc26sYkw4yRB+kPmpyzs7il7vouNXt80bW/r583XsaMqE7l/IOuj6JbjFqpc08kshtK60B8VMn3qvcp5aBUlINyuu3XTRN9inWefo7hRMcYaZCGge4wMbWUcTSKWOSMlTu6e5UNKquyhNfEUFTnpeO2yOfIW32puIcDUUhadRqTNrXqOG4T13ZRJIr4jU3O87XHS11Vo6UbdsnSDbtcY2XUi310vwu6ikB+FmUBlcJtotQrvoXtY/pNHpwzsc7z89jPPwg/8TJIrBQRWda2W7Ki3tI8qgU/qn+bVVu65MzT3l6gWarEoLTh3gFTJjHA3q5zi1NufWjdtavbRleXuGl/rVeb8OixvoJdHd1iiD0+rnh2T0Est3aJ1H1PW/a8Jlv26Cs8tnX0KKtgiviP/0eP9WnfJw1jOnFiwROKxSTx4+YFk+WVg4eV8cy0Iuz5LXXK148ZUS2fnlktbZ2bCn7m7I/7SerRxQu3hYtOy9t2y7vHjfB8joi6bek27hB0rMHvvGLYWFLqhYUs6kGSZJpq5EeXzyjoi+p227Kz/85aCT5uHnqy0/f5rW7vktXtXXkF4rz6nKoxU3vCj67N56zCaZdpqtG2gd1ij1uCkfOaDxObdH1Mt+/LNPbG2X7NNNUQE5F4uoQ6L4vOGS3vGjci73qOu/2hm5sybTvNnzIqluu9raNHdu5TX+vO2Dr4pH5y6PCx3N8zjUPli/MnybG+bNHHG03jk32MwtmHCBvjSt1uBXRuXjBZmmur5Zb/fk5ef/OY63PDLnp2CtofDLLbgdv1HUYUuQRuYwl+8jWTxP69TBw1OO++Wz/kJOaebEhkN5DWgfioku+d77Mw0yDnt9RpG2XF6oBF2bhx3ki8En1MEjS9zjPKCv9+JwC9sPsASiGOQZ0of5fDxNQkxFE/MVP3vflpdLtNDHmdVxT/bm6LfPzcw4mHSDuTTq/J73kU7UqTNrXqOKpBRp2oEkVMY6Yuvlvb9LpVNRJxj5W6CRkR0W5D7Mbru0lD/wYoNbfr0iu++V1M4uQWz1Xx1XQCymtAzC0xU8QsXjpj5awJtfKRqaeFjpW676Rh2CBfcdL034YJFiBa9qQbr0kWryIObn1o3bWr2nXsjkUZefe4EXnVMi23XXKmLJrepDyGqhqlSP7uDqrz8FqsaU9wmj9llGusFFG353Qxbu6kOl9xTHeu1n1ElxRWKYk6LHhCsbm1S0wqoQfdntytX+ms9u63f66KF34rXPbvV+VZ9EdXPd7tNUHGGvzuqBTV4slSLixkUQ+SyHlNmPw+Ws8xLazxVMf+wOdnjwtusd1rbNatzee10PvORRn5y0sHZOvet99jauNQ17kat/is+o7jiE1+CtWp7nlxJ5oTE5EG9kU/X3/0Oe1ujna1gwdK67TRBe8TV/vDbRdF07ZTHNe72z3iylnj5KYFk2XxzLG579VKYp88arBc9p6xufGFUow3ms4buhVliSLGURADSWTa/rNEOe4Vpj9osujdElcObFQ5qtpCbxNq5WfrO+R7a7bJvMkjteO0SeP1O3Xv2u2y/KpzmXv6KxLZDRRjxWzUiXJRBR7V+yxv2+06EFrMDpjfxo3p9+z1GUwTNHXnGUeFfz8TgG7SuvsA0i/qQZ0of5f9xFRnnElSHDWJmbokUlWljyATQ17n5UwACPPvdvOCyTLwxKrAi3uIhygHXp1e0wrpUexU49WmdjuOiTh2vXGL8db52dnju/VdhomVzkHMnzzxoiy85w+5n/uJSyZx2yQ2ssAHlU41uWCSvBd2MYlbPNcdf+6kOlm1RZ/Q7paUKaIfYDPZwcGeAO98j7XPd8va57vz3itIrFR9J03DB+UloJrEST//NkywANEznaSxKiKpksy9rmPVteusWLysbbfUDzlJbl4wWXZ09xbEJF1bVpfELnJ8d4dVW/IrbdqTF00nxqw4ZLK9sbM9p/tu6k4ZmJdw6kZ3rovOGS0XThnlepxKStRhwROKTdcuMU3+duv/rXh2T8Fj1gLOHd29yuq99iJA1gJv1aKhd2kWDKnihd8YYi2UdKtGZ30G04TMoGMNfndUKofFkyzqQRp4jY/NnXR8dzM/bbWw7DFJ17/2mp/Sxcuhg/p7Hr+toycviV1E5OnOA65zNbrjtWYaIr/m3cYind+Xn5yOuNuvxESkyYpn9xglsYuIfHf1C3KsLxtZe8XtGtftomjvZ5u0naK+3nX3COcOGD954sWC73XznkMyYeTgvMeKPd5oEp9MCn8Q41BugrT/oh73CtsfNHl9XAVGo0qOV8WokUMGypq/zimJiDz+3F55cH2H/OLq8wKdb7GY/k7dtXKr/OjyGcRQIZHdSNwdmTgS5fwGniArqlWS3Dhxq5ip6vhGlaDptPTJjlgr/IfpGKd19wGUB5PfXdPkuah/l01jqiqeOzujXkoRR90Sje5du117j/LapkjEX4NXlQAQNgbptoz3uocTD1FO3HaHMfk9D1tF2OLVpvbb7rTzSsa0OBPR/QwEqCp/uLG+y7Cx0hrEjCJGBtlezo4FPsBxzskFkzGDKBaT6OK57vjXzm2Ra+e2yFeWPSOb9xwq+Hn/fvqFQqp+q+XetdulubZaG3f9VC0JGyud2yB3vPqG8v3dvtew/zYs8AHCM52kUbUXg+5Yo6pYbMUM023HTaoe617rt+27o7vXKFY67wm6GLd0wy5ZumGXUXtOd67O92ASm4pySAbTeSvd83QTrXsOHs5bWL0w0yBNw08uiEfOBd7Lrzq3oOiHKZN2msUec6xr8X+eebkgOVPEvHr81XNOlxOrTpA7f9PuewtzvzsqlcviyTQn4qNyzJ8yKlc4Y/bEehER+fqvnpOnOvbnEiTnTFSP+y06Z7Qs3VC4mNy5wOfKWeMkK4VFMFS84rbJ/FSmqUa5yMhkLlv3/m7jkKr4bO1wFCW/Y5F+cjqKkWhOTETStXX0yJr2vb4TN93mjv0IutuEdQ6mbaeg17vfHKoxI/Ln33TjBfbiTmva94qI+G5rhuUVn0wKf1BBGOXG71hdHAv4RMKPLTlf74xlceTARpEcbz9PK0bdvWqrrNrSJa8cPFLw/Kc7D8jSJzsSXZnd9HdqdXuXccGRckciu4E4OzJxJcr5CTxuDUSTQHX9vPEyZkR1ohonfisiqxrXUSdoirhP6PtdZODGqlK1qXO/nNU4zDhwF2P3AcBNmK0T7XS/yw9v6BQR8f37HGaLrdsuOdPz/c8eM0w+9a4xvuNomIRMi9/tkZz3KKsh3PHq68oOuWmD16RD77T0yQ7POKcbUPX6joiHKDeqTq/p73nYKsL2c3BrU2u3CptYX7AVmpNbMqbFLd55DbTqKn94sb7LsLHST4z0Gvy0zsX5nXrFRhb4AHqmYwZhF5NYxzJZiG2/pr/RemZe0pHX8Uzahzc98kwuqdIuSNUSZ6x8unN/rmK73dFjfdr3WN2uj8n2OKmLkUH/bVjgA0THa5LGNLHS9Dp0awu7vSZoMrrfNraT9XxdW07keOy3zsl+LLdq9roEfZMJLud7uC2gZWIbKB5V23Bq41B5uvNA7u9u81umCY3L23bL9fPGu56LFR9ap432fH/rcWe8cIthIoWVLy2qCsMW58J83Xf23dUv5L3GT1tPVdXeaqOb7OiUZmlOxEf5c/bhjrzVJ68cPCxPdezPe56uj3npjCapqR5Q0P+/acFkWTxzbF4Mu/WxzXmvXZhpkANvHM0bUzTJNzCd8z+/pU45fugVW9z62m7vpWr72Ysm9e9XFar9ZzoW6Wxr+snpKEaiOTERpeTWF/M7P+wmyDyB2zUuIrlY4sZP28nv9R4kh8r+uNt4QXNtdUHhIr9tzSi4xSeTBaU7unulddpoYhzKxrqt3vO+lpb66sgX8JnyM86mi2VR58CGTY5Xnef8KaM85+I3de5PdCK7n/HfchkPCItEdkOmDRu/A/NRJ1taTDtqJpUfvBooYVcHqpLOw3QYg1RE1jWuo0rQFPGe0DdZZLAw0yB3GtwM7a97YH2nMsHA9BzcHgfioOo0+U2e0/3OPrC+Ux5Y3+m7I2gSU3XxvH+/Ks84+tTO/fLVi86ILAHd9PMF3R5T1YiyYpOz6ojpZ/Lq0Dtd/N3f5SbgHljf6bp1kNuW8X6O6fY4kEamv+emA1Ym17tbm9ot1maaakIlf3rFO6/qwkGrxTvPa/HMsdLx6ut520nqEo5Mj28/hvPe4Db46Tc2ssAHcGc6ZqDrY4YdKHS7pnVxfMWze4za3TpRVBgWKYxjqiR2EX3yvNcxrff3ipF+F/qwwAcoriCVIt3oJsTd2pXOn/npHwZpY1tM7hEt9dWyrG23LNMU7XBb+Glvz5lOcOnewzmmw4IfoDTckgu95l38TN7vOXDY8zmmC3nWbe2SGx/alPu7PV7oYtjcSXVywwUTtcf1Yr9n2L+zo8f6jBf/qOja1FYb3UrQcmLcEdALMndsUvQsyPyIrv9vbwdpC6xdda5cO7dF+Vl0n9F0zt/PnIb9WCYFQnTvZf/MujmroO0/k7FIXVvTT7IqieYoV259saDzw278zhPornGr+q7FuSDTzm/byfR6D5JD5YzLunM7e8ww+c5vn1eOfyZtXDGKoixA0tkX4ZnsumjZujd/l69i8TPO5hbLol7M53cxocl5WjsouTmrcZjvcy0mXRGqZSHzT8sZiew+eDVsggzMR51saWcSeEw6gSaVyYNyfmfOhqjfz68LcFfPOd3ztW6N67AJmtb765guMrCO75bMHmYyPczNBYiT3+Q5rwnhIB3BoFtsNddWS+u00bnX3v/HnQXVPdw+i0rYhEz7MYPQfdY7F2Xyqo6ImG/vrntPVeLQ0ic7CgYt3LYO0m0ZP/DEKu1iLOIhKoGf3/MoB6zc2tT244i8vb2v/XXOBEOTa/PuVVs9z0uXICkSrPPoPC9nu3fOxDoZdnJ/14Qjr+PbY6Tu3qC75/mNjSzwAbyZTobc+tjmvOtvYaZBblowOdSibt01bV3/86eMMuon+m0fhq0wbI+VJpNoqnN2O6b1/n5ipGpRQM/rR+W6eS1G3xULfIB4RFnBRpdkYy0wbK6tVk4y2K973fNmT6iVF7p6pbPnjdxjUxuHatvYblWGPzmjUT52TqPRmKGz6rCfSnbWd2syweWnP8CCH6B0VO1KZ4KlLolSNXk/e0KtrFEk2yzdsMs1uUhE5E/b98nOfb25fqbpRK49XuhimC4hXMS8wrDqnrF7/xuaZ5vtiubWprY+F+OOgLkg8+9Bip6Z0O0eoXue6nFV9VqvwmYmc/66+Op1rJZ6dTt7YaYh756gei978leU83Ei3mORJommQKXyuj6Czg+7CbrrmJOz+u7TnQfktkvOlF//ZU/ebhn2Mb+od1Xwk0OlO7YuV8Fe5MjrGMXi9h2GmZcDki7szhTFvl79jrN5xbKo20tBk+OD3pMGn9Qv0dXYLarvpX7IScRUDRLZIxJ0YD6OZEvn+7u91k8lzqgnaVXfmXPA0yvRUHUuKj29b3q+1qtx7UzQjKrDfdslZyqDq1ulqcUzx/oeHFnTvtfo3IuxjRrgV5DkOet3+eENxxcGOQWJXW4x1Ssh1Hptc2113rbnJp/FyZocceOWkBnkmBZdI8reyW2dNtr34LJukFW1JdOmzv3K99BtHaSLi85thJ38xEO2Skda+fk9L9aA1Ypn9+TeX3WNuiW7q7R19HhuPWZx26XHpGLm7Am18uGppymTAZyvVW1R7Of4zhjp1tFX3fP8xkbThQ/EQ8Cd24Jl+wSx30XdXv110/68rn14ybTT5JGNLxU8HqTC8KJzRsu7xo0oiBOmA5bWOdvjjXOCfe6kOrl27tuJ535ipCqBa3V7l6xu7/K9jbD9PYmNQDimiY8i7n1d3cKWWRNqCxYYLr/qXNnR3Svrtnbl/czO/jzruM4+/9OdB7RVmtwqYKqS2EXMFmlaz7O3g1vqqwsS3u3tOd1Yw5r2vXkTXGuf78obw22pr1buMMSCH6A0vKpv3rVya15/1P5z3XX74amnyaRThyjjp1sSu8jxZHeR/P69cyxiR3evMsZa8UIXK52P29tcK57d43peFt3uPV7PV73G+oxuCfYikhuzVY3H0G4E8gWZf9e95rZLzjQ+rm4Bj9vuEXZ++4smhc1Mko28dmA0WRApcrydXT/kpLzHnO/lJ/krSPtPFcfnTqrLe8+ojgWUG6/rQ7fg732T6uS3hnMpdkHmiFR9/LmT6pRzOf37VcmPLp9R0E4KstDJpK3lJ4fKJO/GT8HQYhcO8uo7WN8VOUQoN1HsTFHs69Vv26cUBcqCJMfrzmf2xPqCnAS7Q4ePlaQqfhDO74WYqkcie0TCdJbiSLY0ZZqQIhJ9kDNJxBTxTjQ0OZea6gGur/NqXDsTNJ2Pmfz76L5r3Qoht+/V7XdC9zp749gkodT0d46BVRSDn1jlfJ2IKGNrHA20oFUx/HTw/QwOeg3omiZmtmYa5LyWOu1nUlULCbK9u2mD7azGYcp/U93WQV7/1m7nZhIP2Sodaee3Uzl/yqjcdl6miw1NmU5OeSW724WtLmyxYpQzIcjuw1NPy7UVg56DKkFTRGTCyMFy2yVnSv9+Vb52BtH9LEhs9IrTxEPAm9uCZTu/i9q9+ut+JmBUbdWs4rVuu3i4VRi+dEaT8nXrtppNlDXXVru2iZ2V66zXuL2fnUkFTeveadKuJzYC0Ymigo3uGndu621d78211XnJSk7W86w24LKNu5TP0xWY0CUQzJ5Qq11EbrpI0/k8e5LS2WOGyVcvOsN3W76to6cgaXXr3t7cdxR0wQ+AaLj1qe39aNXPrQIcKta8yMATq0Lt2utsS3nFID9t2aDV9KxESZPXmuwmpKu4rjpv53dAuxEoFGT+Xfea/v2qtP1d5w47VVUnFLzea/cIOz/zQEELm6l47dZmOkbZOPxkZby37/rjJ+bq4rjbDiGq91+1pUtWbelyXTREWxPwbjvpFgk6F7CYutBjEZ+Os48vUtiPFVG3nYIsdDJta/mJ4V65Mn5ib7H56TtY3xX5QCgXYa/LUlTQ9jvOlpYCZW7nmWk6vtvwV5Y9I5v3HCp47V0rt8qPLp9RzNMNxfldO9u/5F6SyB6ZsAPzxU62tDNNHAybfGkXZFAxaIX7qY1D5burXyh4rldipu5cr5g1Lnc+9sdMBhT9Vj1VJYOKuP9OmCSmRrWNLwOrKKagq9KijF2mxxN5u/HrlgxpWk3YEmRlqNdiKK/FVNfPGy83XDDR1zmp4pbzXJwJmroGm8qi6U3y4PqOvMnzTONQ7cIgk7gY5e4ibJWOcua89x95qy/SqmEmk1N+rztdu+nqOacr24hebW+3xCHda02TM633cGsrXzFrnDJZXhfrdPe8oLFRF6eJh4AZP/17v+0TZ9Ui5+5Abm1itwo7IoXVhUXcJ6l0E2JzJ9VpY4iqDemsHnyloj/upJrs9xMjvf6N/GwjTGwEohe2go3fOGz6POu4fgtM6OLlh6eelvt/e4w2rcauq2RnUW1nPntivTJhyT5m4fWdBFnww0QNKklUv++693HbrdWk76drM614do9kmmq0ccIPXT/Ta6dL1a4cXknlJu5du91oR1/nzrpeO/64LYb/yRMvKiux024ECgWZf3cbn7tzUUbZdrQeW7e1Szu/0Tj8ZOXjXkUxdInaO7p75eixPtm9/w3tZ/E7LuA1thpFzoFpoTqLbmxSVSDJWpRu2uZU3Rvc5uaASuHVttLFAl0hMS9hCnM6+/hhFwHpzsVvW8tkrME0VybO8eAw/PQdaJei3ARpEy3MNMj5BjmGcQmS95SWAmVu55lpqpHL3jNWWThpdXtX4quyW+1+Zz/D/l0n5d8hCUhkj0gUiZLFTrZ0HlvEPfFSJJrtDdwGFac2DnXditJPhXtrAEAVzJyDjn7O1atqie59/CRpWqwOuz2YmfxO2L+Dnft6lYPLYRvBDKyiFPxcP3bF3JrFtJHhp5qwRdehvH7eeGkYNkgZ70wa4ZmmGvnJEy8qf+aVZO9ntarJVr2mjbJfXH2eLH2yQzZ17pezGod5xnSv7duCDuCyfSUqSZDqDH6ZTE75ve50bexjfYX1hYNW8HR7rS4509qi13leIu4JmiaDq/aFUiYDGFHERuIhYEaXhOOs6iZifg0621ZzJtbJdfNaJNNU45mgvmzjLu0AmnXt+q0uLKKvMKyrmKaLIYNP6p/396zLc53v5zwn0xjptdDHzzbCxEagOPyMFViVd+10cfjosT6ZMHKw53v+afu+vDE/PwUmvNq/QSsMZ1VbaTg4Y5HJ2LTJvcnPgh8malBJovp9d3ufoONb9tfNnzLKddzfpJqxm6PH+mTZxl0FMcErXty8YLK8cvBwrt26rG231A85SW5eMDl0Nb2lG9TtXTvnwiOTJNpMU41cO7elIJF9edvu3Oew/v1MF/az8AeVJsjceaZJXSjMvuhZtaBGRFx34tlz4LDyceua1xXvcRak8NO+27mv11dyjlfbUvV9Oufm506qk4Zhg7TH8LOgSVcoya1A0p2LMsZtTvu9Y93WLlnWtjvXrqddiUrnlRSoiq2qQmImoizMaTqn73ehU5AxOrexBj+5MibjBJZi7iqhG7/VYTwT5cSkTeQUZLecqAXJe9LFsqTl/OnO06vtnOSq7G7n7rbTUSXnXpLIHqEoEiWLmWxp52cQ1QoebR09ygFHL26JmDdcMFHaOnpCJ9NY53j5j9Yrf66rdmR6rrrnqlbTu62qMXHnoowsnjk2UBVq698pyqRNCxPySJNiDfKbNvaCNgp1162VhLOjuzfQYii3JEuv1+uqDDsHiq1z8aqQ5KdRtmh6k9GiJIsVF4+81RfZojG2SkclKUZ1hjDJM27XXRTVhd2O4bZIUve9WVWcFp0zWkYNPSkXy3UJo873DDK46vb8sLGReAiYU/X7VQtbTNtxzhi8ur1LrpvXou3nZ5pqjAbQrOP7rS4sou9z2x+3t9F1bcqNHfsLzm3ROYW7Uji5badp8r3qKmgSG4HS8+rfu/1c1x/99MyxBXFYROSmR56RK2aN85zIWrphlyzdsCsXC/0UmHBr/4apMLy63XtHINWktdfYtMkEvOmCn6RNmAFxiur33et9dDHFrZK6s33jNe6vixMm1YynNg7NK8ThbEN6JQs539f67CZtq9kTamXN892ez9NxxkxdPDT9Pi1en0G3sIkETVSSIHPn57fUKWOR25ia1/W6res15eMrnt1TUOTDzn69+m3fLVm5zbgQkojZ2Krq+2zr6JG7Vm6V1e1dsmrL8T9ebWATHa++rnxc913bE8RM25y6RQi0KwH3tpVqzuTO37R7Xveq3ROjvs5M8pH8LnSKeozOb66M2249dj954sWixC3d2HBrpkHbd2A8E+XGdO7YLgn5cH7ngXXSkPNn0nZOalV2k3P32uktaZ+pGEhkj1gUASOqoGMqyCBqmEEzt0RMkeiSado6erSTNqaNLD+NMftz/SQFmAjzOxGkWoEJJuSRFm7xKuoEd9PGXtBGodf1PH/KKBl44vHkIK8qvCbnfV5Lnevr3BLg79AswglaQTNKUS4aiyvGAknk9x4f5Fpu6+iRCSMHy22XnCn9+1VFMkBpf531HF2yeND441apU5ec6RwIPPJWn2SazLb4jaO9FTY2Eg8Bf5x9vKDXYJBFRtb/e72vdQ4mE8imye9hKwyLmFXMjEKmqUZ+eNmMUH0GYiMQLa/xSK+fu/XFb14wWZprqwt2OvMTq5zJpEELTFjF1MNWGPaiW3TkNQ7prHzpdydJSxomzICoRPX7bvI+unals00yd1KdXDu3peD4JuP+qjhhPfb8K4fyHj97zDA5b3ytcjdJP3Mlbp+9ddpoZZtrj62C+5rnu0MlZapipsmOP6ZVhXWfQbewiQRNVBq/86RB5jC9rtendu5XPu7VXrRfr17tu+vnjReRwnFDP9e8yfiC6vt0zqk/3XlAbrvkTFm5+RV5/Lm9nsdV0VUudfuunQundMXvrNjr9r1aj7ObBaBmxQI/43TzJo+Ub300/sKcJvlIfsZTox6j83OfsY8tWmOND2/olAfWdxY8txgVn92SK61dj1RjwXet3JrbBdTtvYm5SBN7m0hXKNdu3daugt120ioNOX+mY6NJHEs0Ofd1W7vk3eNGKH+WpH+HYiKRPUFKdVP3O4gadtDMtJEYNplG97nmTqozfi/VdsOqrTLt52+6qqaY/8ZxVPpnQh5p4BavnBUyoqhiY9rYC9Mo1F3Pzg69lRBpQpdk6XU+QRLgS5Wg6RTlorFS7aYCFJvu3h9VdQbVwKRuMEC1St6qzCHiPTmhOzfdFucW03az1a4/eqxPW4nO6d6126W5tlr696tSbn9cDGFjI/EQCCfINRhkC1gTzjjpp7qwiHt/MUyFYVNR9rmJjUAyeI1HLn2yw3O80qsvbrqDoxtn/PEaP3P7XCbt6dZMg2zv7g2UmOl8fz9j01ZsbJ02OtBOkqrjez0OpFlUv++m76Nqv5i2SXRzIqo+r/N9VDHtqZ375asXnZFLOHRa077XKHZ4fXaTanpPdx6Qq+ecLt9d/YLn8UyOb30PbgVFTBaF6j6DV2GQJE7WA0kRZA7T7XqdO6nOtYKuF+t69Yr7syfWR3LN++3H6o7Zv1+VXDl7fOBEduu9VYufdOOfzoVTunOzV6u3Fu07rdvalVepnd0sgEJ+x+ms/mqciZx+8pH8xLtSFDpzS8hXJbKLmMX7MLllJjsG3XbJmQWPr27vktXtXdpYyg5CSDO3Qrl2xVhsUixpyPmLo0hxsZjM3S1v261sDyft36GYipLI/t3vflduv/122bNnj5x11lly9913y4wZM4px6NQwuanHlejudxA1ig60VyPR/lmDNoJ153/t3Baj1+sa7Rf+tYGsO3+TxIBSBNEokzYtTMgj6YJUqCxGpzVso9B5PYdZYORWVd3rtW4J8Dcsbct7X+u+5jV5M7VxaCpjSRwxFkgi08puQXbScYtjqnawSbUQ3UCZKhZ5bXEuYtZuDlNl2FmdTifJk9XEQ6B4dPEm7CKjyaMGy/OvHNJODJlWF7aqG2/q3C9nNQ6TRdObRCT+CsOqcyl1NSBiI8pB3NeR1/u7jUc6F6o7f+62yEbkeNKmSWKRCdV7uI2fha0wvKxtt1wxa5y8Z3ytr8RMZ3s9zIRz0BiXhgkzICpR/b57xTGT1+uKF1mLsXVzIha3eOFVEVdlz4HDnudtnbvXd2j/fLqd2E6vO8X34nG/SUlOfnayUP0bsfAHCCbIHKa9H1tTPUBOrzsld62FSWS33sNtfsTrvhDnNe8WZzJNNa47WnjtdqF77zsXZUREPHf38frc1hiy83ttzTTIMkesZzcLoFCQcbq45yfiXMQX5RidSc6T27yXyYIeFWc7VLfTko7J/WRT537tz1SxlB2EkHZ+YmGS52j9SnrOn24+3972TOJYYphcgdsuOTM3l1aJYk9kX7p0qdx4441y7733yrve9S75zne+I/Pnz5f29napr6+P+/CpYHJTj3P1mt9B1KgGzXSNxKg+q0nlEDdBtyHz+h6SGETDYEIeSeY3LoVpdFoTPvOnjDJq7EXZKAyzbaKfqur2xAIR0SbA/+SJFwt+Zq80PH/KKHnFNvFu93TnAWnr6CGuAAkWprKbjp/EJHvb0KtaiNtAmf2cjx7rM9ri3KvdXIwqwyJMVgPQxxv7IJcuyenmBZMLBvsaa06S3iPH5NXXj8rmPYfkpkeekQfXd8gvrj6v4BhBKg49sL5TdnT35pICvLRmGqR+yEmBYmqUyZlRKXUiPRBW3NeRyfu77ahjUuXWMn/KKNdxWFV8c+7MqHP2mGG5isOmVeKiqDB879rtsvyqc2X3/je0/fTzWurk6LE+6d+vyqiCcrEmnHWLnoByFNVYoFcc88tkgtUaM/WKF7qY9qft+2TaGPW5Ld2wS2qqBxjdV/x8h7pzcSaSL8w05O0sISK5cQJVzBQJFjet+0CQnSxY+AME53cO023HSLcEdLf2orN4j3NM0hlrSnHNux2zraNHmah+/bzxuR0prD6v12IdpzsXZTxjoldxJBHJjTfY7xE7unsLEtmt5xI/gbcFmWuIe34iTYv43O4zXgn5pgt67FTt0FVbumTVFn2ldNU5e8XVsxqHaSvG2z+DdU4PbwheXR5IAj/xJYmxKIyk5/ypxgGSPN8SNlcgih1D0yz2RPY77rhDPv/5z8vll18uIiL33nuvPProo/LDH/5Qbr755rgPnwpeDZhiTCb4GQCMswMd1Wd1q6ZuSrfNwy+ffknWPt+d+7uzQejV8MsanwGAsHTxKkyFSpWgk/rORqEzUdy08eU2MeO1baLpYIDzM86ZWJjoLiLSOPxk5XcrUh6VhgHoheno+klMsrcNTVbIu8UU65x1ldpUrw1SUdPOTzKU7vVuFfSS0GlP0rkASWRyjQStTGwf5NIlOTXXVhdMQnf2FFbCfLrzgCx9skOZVBi24pBpheHbLjlT24a8ctY4udBl8t/kPIohCYn0QBhxX0em76+LHW6D+6p2k9c4rC6+2ZONdu9/Q0REGoYNkt3735DfbeuWp3buz/1ZsnJbqAnkIBWG7161Na9K6KwJtfKRqacZtces5HvddxIn3aInoFxFMUEcZYVK0wlWa67E69i6uZGlG3bJ0g27tFV7/dxXTL9D1bmoqvNaW8NbiaptHT0iIjJh5GDtccLGzSC/Byz8AeLhnJNxa5d6JaDPnzJK1rTvLZgfURXvsf5f16eOozqmffcNVf9Zd0xd7B8zonDnTL+LdUzHEK1zU32/IvkV74POpwGVSlUcstTKZRGfyRy8yYIeO7c5KD9taqttqRt33dHd65rzZH0Gr0WxxFykhWlxizTGIpW0zeM623hJTr4PuyNxpcfNWBPZ33zzTXnqqafky1/+cu6xqqoqed/73idPPPFEwfOPHDkiR44cyf394MGDcZ5eYng1YOLcOsfOz4Ue1/YSUX3WsO+ja3C11FfnJbGLqBuENy+YrK02zBY6CKpSY2RYungVVQfYZNLdpCHo1tHzmgA3nZgJUl1Y9xlXtwffRtNLGhtnaWvslyNiZPrNmViXF1vcEpOsNp1JvAjzHL/xSPf8q+ecLj29b+ZNNg88sUq78EfFbXvIJCVJJulc8DZiZHKYXCM3LG3L60sGXYyo6xe7bQ2req4uSSZMxSE/FYad2+w646Fb26tY4yk6SUikhzdipLu4ryM/76+rwKOi24bVJH6q4lumqUa5U9D8KaOUbTq/E8hhKwzbk9hFRNY+3y1/974JnlWK3MYi3NrCUfSBiZHJR3xMpigrVJpOsFp9c5NjuyXFPN15QBadM1qWbihclBP0vuKWmGlanXdN+17JNNUYtdVLFTdZ+JM8xMj0My3eo4pPqsUubkU3nO9hEm/CJujY446zHas7ruqYpvcd+/GsxUFu/I4hWud25K0+o7m9TFNNwQIqZ3V8P5gD8ocYmQ5uOz7271clO/f1Kvu7xRhXiysfqZhME/L9xHuvNr+ffxu3wgDWuKwq58m+Y4dbEnu5JPzGgRiZTF7FLdIai5ycbbCzm4bJeS21uZ12EI7p2MywQSfKpTOaynKhRBixJrJ3d3fLsWPHZOTIkXmPjxw5UrZs2VLw/G9+85tyyy23xHlKieTVgIlz65wwnS6vBlWQ9/b6rKbv6fc781pxL3I8Aem7q19Qvt4amLC/hyqJ3f78Sg8+8K9SY2QUVPEqqg6w18CkyWCcV0fPZCI3zLaJXt+F7jPOnVSXN1nuVu3elMmWaUnrKJC0mQzEyPRyXkP2BEVdYpK9yo4zwdHu7DHDcpXS3GKGnwofbte86n2mNg7NtSHtk81e8dJeadiranNSEoCSdC7IR4xMBpNrxJnErnqOiDrezJ2UP+mu6/96bQ3rfG4QfhNFTSsML8w05Lbd9dLW0SM796nbsV7jKVG1OUudSA8zxEh3cW/p7ff9VRV4VO04t0q1qgWUJtUiVTF84In6iV8/17rpxLUu/jsT2a3jq5Lvrbar21iEaoG7FRd/8sSLnguuTOhi5Jr2vYnr91cq4mMyRVmh0jSWu/XBWzMNIiJy52/aRURk9sR616SYUUNPCnUudrqkcmc/3eu7WbJym3S8+rpnO9w0bjrbkiYLVd243YNINigdYmS6+SneY+1KYTIPYNK2jXJ38iCLFf0eVzf+uuLZPbnXmc6R2BcfBf0OTOf22jp6CnYBebrzgNz0801y6YwmX981c0D+ESPTwW3Hx9Zpo6WtoyfSHc798rugRxUXSz2vHHVCvqovYOfn38bruWva9yrn3n67+RW5acFk7e/PJ2c0ysfOaaSN6oIYmS5hFxcmiaod+lTHfnmqw98Okwhv/xtvSb+qE2T5VecyDmoTayK7X1/+8pflxhtvzP394MGD0tjYWMIzKh63BkyUA5N2UXe63FZ2R7Gdrp/zDZOMpFtx39P7pva8f/n0S3mV2nXvYUljtWGdUjf+K0klx8i4RNHodBuYNB2QNKl+ZDIBbvJ5gsQf3Wuundsi185t8ax2b8Kt0rAliYOFJG0mBzEynVTX0KotXXLt3BYR8U7UvPWxzXkDaQszDfLucSPkx79/UTbvOSRP7dwvT+0063ybDCiaXPPObYadVejsz1ftpnFeS13e8b1iSdAkyTjacCRsJhcxMhm8rpG2jh7twhy3xYh3rdwqq9u7ZNWW43+seOeW3Lmju9ezvTahvlp2739D7vxNu+8EGb/jGKYVhpe37ZbFM8fmvq8gk/ZuyZl+xx686D7X0WN9smzjLvrRCUGMdBfXuGSU7286Mey2gNJOFV+CbAu7bmuXUTVKHV2cU+1qoUpk90oQ0n2mReeMlpaRg6Wto0cZF51UfWCTtqYuRtoTJfwsYEL0iI/JFVVCjG4xtj3xzx6TnX1wEZFlbbvzimksWblNFv41uV1l9sR642q6Km5JkBbd2FymqbA6r8WkHW4SN51zYy311bJ1b/7r/O7mqTvukpXbct83sbL4iJHp5qdt179flfE8gEnbNorxM7d+q1fhJL/HVcV+kbc/v/X/qp/Z39ckuV53Ls44aTIXpvuel27YJUs37PLs60eRdF/JiJHp4LX4Ju7xgCg5Y8zCTIMceONoXl/Zz3Xv3OknDGdb0mQMwo1zTNji99/GKyl+z4HDyse37u2VpU92yISRg5U/J4ndGzEymZKYixI1rzZwubVxSpHP6KefsbZ9r7xv8kjvJ1aQWBPZa2trpV+/fvLKK6/kPf7KK6/IqFGjCp4/cOBAGThwYJynlGhuna6oV+qZdrhNL+ogExo6um2C/XYSgyYj6Vbcu1Wtsyexu72HiHmVpzQkh1fCjTxJKj1GJpVbJ15XWdI5GGeSXO43AT3Mgh7VdpK691JVS3bbQtj+epNKw5akJoyTtJkcxMjiMG2jmD7P5BrSJWqqKgEtb9utnXw2rTAU9nzt7+N1H5g/ZVSuimeQKmpBqw3H1YbzWtyVhvZtuarEGFns37kwCXvW424DXG7XtLP/aY93un6x/fF1W7vyYufkUwdL/eCBsvb5bnn+r8mEQapx+BnH0C1cirLC8PXzxhfEWmc8nDWhtqB/H2asRJccZm8nmyzoRLwqMUb6FfeW3lYfclPnfjmrcZhrNXUdr3ac1wJKi66dpIvDew4c1u4QZF9840dbR0/BjhSqfro9sVRlxbN7lI9bbVHdZ7KSe0TEdfcj1Xta52PS1vSaNBd5O7GUBM3SID4mWxQFOkT08zGqapamiZHL23Yr44c1nmj1h/3eV0wrDIvkxyV7UpIqid2NPVaaxE0nZxK78/zCVHi2ECtLgxiZbn4r1vqZB/BqO4fZ8aito0fWtO8NtFhRx7kr+gtdr0lP75tyVuMwmTBysGvcdTuWMw6bxG/VDu1euwHp+ude36fbWHGYpHscR4xMB5O55LjHA6KgijFuC3BUiwmdY42WKOZO3Np7QedqMk018qPLZ4QeA7f+fZ1jEFfOGicDXHag29S5XxZNb0rNQoekIUYmT1JzUaJm0t5MWhtHF+e84l+p8hn99DMOHX5LFt7zh9zfybmMOZF9wIABcvbZZ8vKlSvl4osvFhGRvr4+WblypVxzzTVxHrosRTUwKWKWhONnGzCTzmeY7XSDJgoGTUZyTpj7qVqnew/Tyem0JIdXyo0c8NLW0SMTRg6W2y45s2B1tumApNfkbdBOX1TVhXXv5RavVDEzSKVhS5iE8TgT2cIMOgNpY9pG8dOW8XMNORM1TRJqnMJ2vv1e826PO7+nI2/1+Tq3oNWGRcyqJAWhG/h2DgJTLQ5xK3afKkzCnv161cWM1kyD9vo0aSPp+sX2x949bkSuLSsieYNnliCxws84RtwVhseMOP6eViV063V2ziR2S5CxEtXnUu3U4aykDyRVlOOSTvbr6oH1nbKjuzey68FqB+kW/3kl2LjtpiMiucTFs8cMk6d27nd9fxO6Np4uBruNy6piqIh7dT0n0za3PenIT1vTHiN37utVblsfdEEAAHPOGK+K+X4TI89vqZPFM8fKmva9IlK4eFt1DLcxPL8Vhq0F1V//1XPyVMd+o9c4k++dfWuTuOn3/IJWeHYiVgJm7HFG1T/Pimj77CpHj/UpH3drO5skjqp4JVd7LVZUscYbVO/9wPpOaRo+yPX1bsey/8z0HrLi2T3aZFKLPU669c9NYuea9r2B7zfMAaFcmMwlxzkeEAU/7VTdYkKdMHMnXouPrP8Pczzrebpq76bv8cPLCpPilz7ZoX3NWY3DRCQdCx0AE5VSvNCkfbRzX2+umGWpr21dW89rjsbv+GSU+USZphrjwiA7X33D+BwrRayJ7CIiN954o3zmM5+Rc845R2bMmCHf+c53pLe3Vy6//PK4Dw0XXsk2fi5q04ZhmA5d0ERBr2Cje/21c1vk2rkt2qp1D2/o1FZn93oPr/NNS3J4pdzIATeqBpJ923A/A5LOqrwikkt22b3/DbnzN+2BqvUGXdCjupbt72USr6LsvAa9D8SdyOb1b0wFYpQL0zbK0ic7fLVlVNeQKmHT74S5TtgJBr8TTbrni3gPUAaZwDepNtxYo56AUsX9IDFMlYjqTIilWhziVOw+VZiEPee1pYuJd7hcK2EW1enasrrdJETi7+85266qAb+gFYbXbe2SGx/alPv73El1xucVNEHTYn0ut+82qX1/IG5xxm2TiWmTBBsrvrjtPqZKYne+v469UrBJcpLzMTdzJta5bjVuvy/9afs+bUVhN/b2e5DxQitGtnX0KBPZRdRJRgCiFXQuRefosT7Z0d1rPJ7pNYbnZ1xAtaDai1WAw77AU9U/jzJumu7mKfJ2vF7TvjfWWMlYJsqZKs4sv+rcgt95VZ9dl/Rz0yPPBFqEaVqEyK0whdPRY3251zj70pNHDZbNew4VvOa8ljrXxO0OR3KNnb1d6TVeanoP8bPrhur5qjmqflUnyHdXv2D0vvb3dkPFYZSbpCeqe/HTTrVipZ92YpDxUJPFR1EcL+g8uLPN5/y72/lPqK/O20kv7b8/gEhlFS/U7cRgWbJyW0Gfc87EOrluXnF3ldWNGTfXVnu2Af2MT8aRT2TNf7sls+va55Wecxl7IvuiRYukq6tL/umf/kn27NkjU6dOlV//+tcycuTIuA8NF15JOH4uapPAHbZDF2R1ukmw8XpfXcKViLgmsnu9h06aksMr6UYOqASpZH70WJ/071clbR09rkmGR97qk/lTRsl/b9qdN+G8ZOW2yBOxg17LXvHK3uG1J/f75VUhxS02FiuRTTfo7Px3pQIx0izIbj665zndvGCyvHLwcK4zt6xtt9QPOSkv1ulikumKZpHoJhj8LtJRPd9rsjroBL5JteHOHvUElPM7DtNxtw9c6j4r1eIQl2L3qcIk7Kn4jTFB+soi7u0k04pqQZkmx9z62GZljA9SYbg10yDLHO+lex+noGMlbueoQ6ImKlFccdvvxLSIWf+4fz/91tpeSeMqplXgrPOwKrrtOXBYRg09SRqGuVfJvG5ei1w3r7DQhjMWZ5pqtFXr3TgXXIUZL8w01Wgr2wOIV9C5FJ2pjUPzFv149SdNxvBM26HWAm/VDkMqcyfVydBB/WVZ2+5ce9FerET33ZjGzbrBA6Tr0Ju5v7fUV+fipt+YacXr323rDh0rVW3ytOwWDAThFmec8xe6PrtuUWPQOQe3sQHn9ThnovdCbOd5Lcw0yIE3jsqqLV3KJBmR4/HGK3F77IiT5cV9r+f+bt+B3Iol86eM0o5l6JLrnTub++F23qbj1SIiHa++XvCYLgardmUGkAx+2qk3PfKMnD1mmK/39zseajIeEWT8VZV8HmQe3BkbpzYOlac7D+T+7jXvdsXs8dqfAWkVdJ4lrTJNNTJh5GDjttjq9i5Z3d5VlIR2r901N3XuVz5ubwOa9rXjzCe6c1FGXu19U7sL8GXvGassllLpOZexJ7KLiFxzzTVyzTXXFONQMNTW0SMTRg7Wdrr8DKDpAvqFEW8h42dC30+w0b2v2+S6bmL8vJa6UJ83iuTwYlXMqLQbOSqDn+vHbyVzZxUgayJAF690HdyoE7GDXstu8SqqSQ/TCil29n9DvwkRYeKnc9BZ9e9KBWKkWZDdfExeb73WOSjmjHW6WHXTgsmyeObY3LXrjLXnjBkm7xlfK7Mn1svzrxySryz7s5zVOCyvWkQQfitMOJ/v9n2GmcAPWm147qQ6zxgW9P7j9m+fxMWaSL9iL7iN43imMcZkwljHrZ3UOm20cvJnauPQ0Emlziofunai133FT4Xh5tpqWdO+V/k+9YMHyt5DR7THue2SM/PuGWH/vf1MrAGVIq64bVq5194eMekfu52XLmlcx0+yvVt1Yeeks6U106BcYK7rs8+eWK+t8nv9vPEyZkS1rNvaldd2rx9yUt7zwo4XfvWiM5TJp9bOdVGi6jAqhdfvetC5FGsXSVXccMYk3ft5TVBbsVxX5EJl9sR6z3vArAm18pGpp2l3EbPO1/p/3Wdxi5uLzhkt08bUFExMb93bmytyEiRmtnX0yHnja5WJ7KaxUnUfmD9lVFF3tgKKLarFk7pFjVGOcanisr3/a8q0+IdXu/vFfa/LwkyDnO+YAzeZB1IV+7He5/lXDgVKZFft5qn6PCZtbVWhDV1sDjueDCRVufSL7LvXrNvaLRs79muf62dBoCrm2HdV273/eOEg+y5EXm1RPztaWFQxd8LIwcr3d9t994Wu1wpio7Pt7nX/8LpvlMvvFCqP3yJDaRakAIjI2wntcS16Nin4cVbjMGXhYXtsMu1rx1lgZU37Xm0S+9xJdbJoepPs6O4l59KhKInsSBbd9uF2fgfQ5k8ZJQNPPN55tzfSor7ATCf0/QYb5/uadL7juImFnewpdsUMt++ABiqSwk/FRz/Xj5/JdrcJIT/b4lqiTvwLEs908UrEeztHE34qpFic/4Yt9eb/RlHHT92/KxWIkVZebRS3WObVljFtt+lilb0dl2mqUT7n4u/+LjcY98D6TnlwfYf84urzTD56LHSJjCue3WM0+KhbVBm02vC1c1sKjuV1DqYyTTUya0KtsrN+9Fifr/cCTBR7wW2pFvj6abuo2sNebVlVIsvTnQcKdhYKer4WXTvRq41skixqvz/oEtn3HjqSW+DvTM5szTQUTFRH8e+tq+InEk+iJpB0ccVR00R4+/Oswh9XzzldenrflLMah8mEkYPlzt+0i8jbY56qdlyQ3RlNxgOahg+SJZceXwytqy78dOeBXCyzdoJbt7WroLqw22J6KxbrKq9Z8cm+aNL5WkuQMQb7vcp5DmF+H3RjQlQdRqUw+V0PM5ei24HL5P1MJqidi7WnNg51fb5XcqNl7fPd8nfvmyCZJvcd03TWtO/1TK5fumGXdsGk/bvwEzPdvjPThey6+4A1v+d2rkCaRbV4shiL53Xxx1nBPExFc8ua9r1ywwUTPRcKOec1TBZB6Yr9WO8TZG5MROTTM8eKSLjxajtVnKukRDZUtnLrFzkXf8+dVCdnnjZUu/DQxHkt+W0sXXvMvqu67p5g7Rzkt/+si7m3XXKm8jg79/XmjeH62QnOi1d7u9x+p1B5/BYyS6ug7TBLHIueTZLrrcWFJgngJvE1yra9NQbpnGdSseblaXMWIpG9woSprtG/X5Vy0trZGDnyVp9kmmryJgpE3p44djbO4hAm2Pj5jqK6idm/q6CBKs4tL9yovgPn74R9mzmgmEw7S0GuHz+T7W4TQkEaQXFUFA0Sz1Txym3yx89iF7fvzPqvcxcN57/h1r2F76FbOR91/KQCMdLA76IztzaK25arXtVq/O4EpDtX++exL3hZ+mRHQUWJpzsPyNInO0paSUf1+dwGH53Pd/577OjuLUhkFxFprBkknT1v5P7urNipundFPSn3kamnKRPZdVWsgLCKPfhjTVBs6twfya4PXvy0XXTtYVVb9pwxw3L99igXtHgNQNrf017RSMctWVR3b3Orltm/X5W0Thudu3dYg4zL2nZL/ZCTIlvUbj+3UlXbYME5kqpYxSLc2kGqiV1ndR/7xLRV6U3EfazT7bozaVt1vHq8Hec1wWTFMuuYuoRzr/hu7SBmn3CxkiP97kwXtDCH3cJMg1w4ZZQs27jL9++G7h5YqjFUoNhMf9d17S6Thcd++ojOhUMmyTTOyV/V7hN2VqLRLf/9rOd7W8nous/p9tns7UprB8mfre+QpRvyx0V1FZSd720SM72+s1VbumTVFu/KeH4TFip9W3OUj6gWTxZjMbvuurt2botcO7clb14pbCL7kpXb5MhbffLH7fs8n2tfxGPSLvR6jlt8sRaWqqptmi4GCrKw1a5SEtlQucqtX6T6PKu2dOV22QnKTxvW/v2p7hU3XDBR+TqveKOLp/37VSkXIi1ZuU2WrNwmCzMNsnjm2EiT2O9w2XW83H6ngHIWRT8v6pwXXayzdom0t/VMx5K94mtUbXs/C4ac+Uq0OfORyF5hglTXcK5ctA+E6Rojrxw8rF1hYp/0iUuYYGPyHUU5+euWWODGeQ66CnNuN484JrF1nQSTQVQgSn46S0GuHxFRTl6ruCUE6qq56SRtOxlnw8ok+dFkgYHufZyVmKzXmk7COFfOi8SzZVCmiQrE8FbKZLKgVRF0nSld28skmTOKTqLb59nUuV/5mk2d+yNLNvX7b+nWoVUNPuq+D/u/x/OvHFK+X2fPG7kKndb5eZ1v1JNyxahWBTgVc/DHfk0/sL5TdnT3xtLvsa7dnfvM2i5e7WGrLXvXyq2yur1LNuzcLxt27s9NdKiYXrf2OOPVTmuurZa2jh75+q+ek6ds2/46E06tBdIiokxodLsXZJr0VYbt2447fx7VonbVuel2tosLFZGQdHHEbdWkhqod5Gc7XXtc8Dpfr+vOdDzAZBH8uq1duUT2IIvpjx7ry8XWOxdlZPHMsbn7gzWuF/beoOL13S9v250Xm01jV5Cd8Vh0jnJj+ruuW2CsetwZQ3V9x6yIsj/p1Z4N6+ixPuVidhV7MrrbQievOH3v2u3SXFst/apOUP58RHV/2dd7NO9YQWKN6dinV7KQLmbPnlgvR97qK/pCS6CYolo8Gffiea9xOfvx3GKUKh6rmLaD7XHTpF1o0u7Unf93V78gI4cM9DyGiPt4tW4cwEKcQyUrt36R7vNs6tzvGQvCHsNuTfvevHFX3b3Cz5yS2/xK67TRuVwFZxGP5W27pePV1z3P2dkWdlp0zmi5dEaT53mW2+8UUM785iip2Mcio+DWV/WaIw8jbNt+6ZMdvpLY3RYEgUT21PObNOM3icRr4lvXGPFqCBZj5V3QYOP1HUU5+Rt0VaLzHNwal7rPE9cktlsDnhWXKCbTzpJbMqHJZKx9sY9uoY7XwKMzXjkXEJ0zZpi8Z3xtURJcwlJ9VvuqQtO4p3sfZ7Vh67VhqmvElWBJBWK4KWUyWVxVEcJ09MK81uvznNU4TFm956zGYcbHcDv23au25lU/8vq39ErWsQ8++vk+3GKLvUKnqSgn5YpRrQoolWJVmjGp6OBsu5i2h1WVIpe37S6Y5DG9bp3nqpvgtt7T2fa1PN15oGAhTpjquqoqwybbjoedbNGdm3NnO+tYYWKuboyIikioZM5JDdUkh9/qtCZxwfS6s+/qsfnlg9KmGN8zWQS/vG23NA0/WWZPrPe9mH5q41C56ZFncn+3Fts47w/L23bLtKZhstG26Ejk+LhI0Fji97s3jV1BkvlZZIlyY/q7bvo8XTtM13d0PuanQllQNz3yjEweNdj361TtTov98+3c16vc5cceQ53sSezWsVQ7H3vxE6Pc7lNu/fNMUw3bmqPsRZXwEvfiedNxOefzRAr7lfafqxIdgzAZMzBpdy7MNMj188bLsy8dkN86qsu/cvBIwXFVO+7q3PrY5rzzmzWhVj4y9bTcLvTEOVS6cusX6c7bmhtamGmQ81vqZN3WLl9J7fbdKEy+G2unC6twpSrO+JkftMb63GJupklf9PKpnftdz9faVbmto0e+t2abPP5c4fu8a9yIWHLRAJSW1Y58eEOnch7dy/K23bJ45tjI2lOlnEv2atvrCqNYRUC8mC4IAonsqRYkAcrvhR9m2y8vxVh5F2Qgwe07inryN8hEueocdEnsun/bOCexvX4nWHGJYjHpLLklE5o0ivxcS14Dj/Z45TZp0NbRY7R9eSndvGBy3s4cy9p2S/2Qk1wrp6tig/M729HdW5DILnJ8EOGGCyb62jbeLq5GMR126JQ6mSzOqghhJnGCvtbr8yya3iQPri+syOY3acZJNwnv9W/pdlzn4KOfKh1uscXvrhiWMP+eznONu1pVkHMColCMSjN+KgXbmbRF3GLS+S11snjmWF/XjepcVZND9urqC+/5g/b97Atxoqiua1UZ3tHdm5u8thKJ4mq7mdxvnIntQRa4ucV3KiIB7vxe5zv39XomIbpdd9Z/VQvZnezJOs211XLhGfXyUs8b8uzLhbvxWNuHXzFrnPFi+qPH+goSMO9du122d72mPB9nErv1/KB9mSAx1iR2+U3mZ5ElypHp77rJ87zGMVR9R/tjJu1ZVQELJ+dY3+wJtbLGUURi8x71bmWZxqHy6ZljtcnoqgXg9j5k67TR0tbRE0kCaJDdfzNN3pWFLV6x1a1/HndyLgAzfsawVAs33X7uN44tOme0LN2wq+BxkzEDr3an3wrJ1o67Xt+P6r6z9vlu+bv3TSDGAX9Vbv0ik8Xfi2eOldZpo/Nil1ef3B4zr5g1TuoGD5CuQ2+6notbH9nP/KCqWMj5LXW+5zdUC9JFjre/rV2LVzy7R5nELmLeby+33ymgEljXZ5BEdhGRu1ZulR9dPiOy80nCXLKTat5FxHxXIxHzBUEgkT0x/CZVhEmA8nPhe03kqhojJgOObu+dBLrvyHTy1/Tf0+v7Vb2PadLV9fPGyw0XTNSer8nnCMKrk3D0WF+o9wdMmXSWdNeC2/Vj5/da8jMRoHqus5GkqwBfakuf7CgYgPSqnK573OQ7s69uN9k2XiWORjEdduiUOpksSYss/LSBdc81+Tz//KEpBYmSYRJuvCbh3dqGuvO1Kl/oeCWg69pg9rhTqsrRVlXPUg48lHIXBJS3YsRU0z6gM/aYtEW8FsH4TWQxPddr57ZIpqlGlm0snAx3noPXe7tV17VvWW5fKOScpPr/27v/IDuq88D7DyMJAQOSBmaEPK9mhAaENNESuGARS8GlXzay3q1kkYijrX0rQOJ3KwiCsXHtapL3TSjX+6YsbblMWAqMU97ApsrEwkEytdlSsFcgGb/YiB8XLZaFLIGsK9AKaWAkOWNbCM28f8g99O17Tvc5/fN03++nagp0597b3fdOP336nOc8x4sJeU5uDGMbm6Piu0vXfiBvJu3NqL6sIH/CeLA94W1P1//1/P7jct+Tu43330vWueXhH4Yu9e336M63ZOtdS4wm0+visG4AWyfuvYztZy9iFruiroEuDowBaYg7oTjqeUn7McL6YOdc1jmxzZnTLmg5b28O6es7ODzaksguInL5tKktlXzrh0/KX/1epzY+m1agN4lZ3RefL8P/ok9wirP6r66ycLCqqGn7lYR1wF1Z9mHp2kg/eus9bVvzgGaCY1ifQfB6ZHL/b2Jud6fR56OrTMxkbqBZ1e6LoqoLezHAn3ezauGsic8gqlq7zX1rcBJ7nHwjVbEQXfXjZfNnaicq/fKDD5WPXzBlktQbIyKiPzablTBEqvc3BbQDXfvw5oWzIlfzeW7f8VgrjkXtjyuxQzfuYotxGHMksjsgzg1p0o7DYEPJZiAn2BGmaowEOxyDypDIpwqOJoO/tlUudZ+v7n1MA9yy+TO1v8t6EHto9aBMndyhrWwC5CXqZkn3Nx92/pi8Psm5pBtk1yVNZl3F2XaiVdgywQeHR2Xt9bMzSRAKVoHyJJ08kBQ37FApOpnMlUkWtgO2uucmmbgUd/AiKlHTPynx//2nn8orvmoXugqZ3vKNptcAVfz3Yo5u5Y6iKkfrKg2nWSE97L2KXgUB1ZZHTDW9PqieF6x+NmVSh2x+qdG0jHbUJJiguKtD+Jms8jZvpvnEJdVxBJcs98ceVUyYOrlD3j3166bHx42OJlycJE0Ru9gcFd9dufYDebNpbwbj5T//5GjT0rALLr9Y3ni3OYkn2J4Ibi9YOVjEvurkmbNjsvml1tWFonj331GFN9K6BwmufmfTxgveN3v7r6qOZxO7bFbGA6pAF/NM/9bDnpe0HyOsDzZqrMnbN5P99PzbRX3KsYmHnt0vz77Ruuy3TQV6/z6++NZ7yirFYUnsIucqXnrvqdqGyT2tV1k4WFWUuAaUWx59WKpYu3HbXm1785VDJ1oeC0tsTDq+rXNd33QRiY6dYWNUJBEBrap2X+QdiyqRPWoyob9dpVvFx1RwEntULAw+HtXXp5owpOt/fOOoekLSE7vOJfyvWNCjPQ5vcr2Nqv1NAe0grA/t27sa8m7IShSqcQyXVshOsi9JV3cXsZ8Q1O5IZC9YnBvSemNEDr2nPllMb8DiDuToTuxgY0Q1AKFLqCmTqMHfON+nroJw2PuoBuj9HQxRgzp5DGLrZn3SSYA4kjQuwm6Wkp4LaZ9LYbE5rJGUVRUJ24lWURWKvfM/bnJ3VEOx6Eayblsu3bC7dNPQzlxIJit6koVNm8nkucHEoyMnfiUPfH/fRLszjckDJlXVRfSTEv37rqqQGecaoIp7/phTb4w0VSJ2pXL0ozvfkndP/bopkStJdamo61XRqyCg+rKOqXHuAf0VgadM6tBWFPLOl7BJMH5xV4cIClvlzbP/2Ghk0r2uuq5qyXLv2qGLCar717QSBoJ/I1HLFovYxWaT+F70tR/IW5w+Oq8dVW+MtMSQYBK7xz+IHNyebfK5yoanXpfBWZcof3fzb82UwY9NM+p/C0twjTPZxs8/IJNGBVF/e7bW35Uodrl0Pw5kKevExzz7UG3OW9379s64UPl8VRK7anU0k0mC3j22KpE9ijeJMmwbcfYHQPnpzvfvvHwuITPOhHOVYP+hri24YkGPMnbqEhttx7dtvHb4ZGSl9bBjSbP/nXEWwG1hbc+oOOXvF4ibyL621itbNCuXm7aLw/r6gvfda2q98sl5PRMrowf7M6Ko4nzUfgConuB9ZdjkQL/gqrjB190wZ4bcdFV3IbmiSfsp04iBcSYEtTMS2Qtmm1QRFihMb8CSDOTYCL4mOKhe1sR21SC/J26STPCzinofXfJ7kmpHeSRbUPENcWS5jKJI8nMhrXMpKjaHNZLSvon0YrTttSIseTF4/se5rkQdp+lAfRby3FZcZdjHduJCMpm3zagVetLktVd0kzLjDNh6av1dLYmBD24/oF3+26Zdojp/gu+3YkGP3LNiXuSgibfv/gqZca8BYXHRdBn0oipHBxNq4yZZmNzbFL0KAtpD1skjNveAph2MIvpVbVRsVoeY290puw+fkHdO/Ep2/my46TWqVd50K3qpKqqbVNfVLVn+7V0NGflleIXMoLQmvYQlZiapOOy9n0l8J8kJVWHSB5ZkIptNtR1vsEbXvrW17Opu2RGIm3uP/kL53NMfjsmy+TPl9XdONg0821QW9vczRi0XrLOlfkRmTrtAVi2cFSuR1mSSFLELCFfE5F3blWuy6gdRTRhUJe/okjFVK8ia3kOq2mCqxCUbqm1zTwu0D9157VXNVfXpJ+33111D7l15lSybP1MZO3X7aTq+HbfdqeNf1Ufn5oWzUtkW4yxAOejanqYThnR9bT966z3tpHUvbh4cHlW2B8NyfYJ02xdpXZlia/3IxHhLWHX1MMvn9zStSudtj3txoD1FjXN7ei45v+n+e02tt2X895VDJ+SVQyeaxuzz4Mpq3dy32yGRvWA2HVC6QOE1iExPtKIrEgZv8PIOVknVGyNNS1D69z+tDsUzZ8eUjz/92juy9vrZIqKeKOBaVSIXkvRgz6VKAnk1LpKeC2mcSyaVdVTVKtJeiiYq8SnsWqGLdarKRipRf3thFTtsB+rTFLYtEcnlfIr67FxpqKNZ0QkZeXe6myRWJhmw1bWVvb/1uO0S3fmzptbb9NjVl18S2Rmq2/c41wCv09I/yz1qn1cpBmxskw+iJKmuFOd+xOTehgmWqAqTe0DTDkY/03PPtC8hKt77B483v9SQ3YdPSFfn+ZHbt0m611074lTMzKqjMSyxPU584v4b7cK0DavrW9M97qc774ODMdf1TbeudBa0fumA3Ow7dw8Oj7YksouIXD5tqrx76nTTYzt/Ntw0WWj5/B75/Mp5sSaGejGp8f4vlSt4RLGtLuzhXhVIR9aJzmmdq1n1g3jvq2sLb7r1Grn68kuMkzFt7iFVbbCZ0y6IbJMvmz9TTn84ZrSNZ/YcbXmMe1ogPpfGwIKi+tWCsTeN+Ky7Vni5BzZ9aibXIy9mq2LguLQmaPr98EBrO9m/P2HXvTTyIGi7AuUSbHvWGyPyrRcPKZ+rmjCk62v7zAM7lau2zbns3HP+/kc/V25DFQtVvOvUqoWzWravK97hCauuHmbGRVNa+jzSHjsCUB6mRT6O/6K5aFBUn2Ke7aY0cmNtip2ocN9uj0T2gtncAOpOEK9BZKrI6g1RCUZ5ncBxOyl0A/K2SwFFUVUBETk3QFVvjJQq0BWdpAc7rlUSKHriTZQ0OzxNYrN3w/z//NNP5dXGCRH5qPJZGt+TSeKTKnHU/xmoYqBJErvp356/0+DM2TGZMqlD+fnn+bej25Z/0pPIR8eUdke5yWfn+rmE/OXd6R4nsdJj2r4Ku5lMsty27n3DKoqHtavnzWw9922uAf4qc2seeWHi9/5zX7fPX99xQL730+YleLP43lX7alKhLs79iOm9DQmeaBdxOtYOvTdqdJ+pO9/8S0eKhA86e/tY6++SWx7+YVMFo55Lzm/p+NS9NijYvjKdVPOpwZnyP/aqlyYXaZ00mqQdZzJpM2ls4v4bVWfThtX1rekeN7m33bB6UG5bfMXE/WhUErsqGSeYuO5PJA/zbxf1RVatfG7fcfn8ynktj9v0BT+wriYizW3dLKoLe7hXBdKR9eTdspyruv2cMqnD+jMKrszbO+NC5URykdY2WLD/8p9/crSpwqW3Xa//YPfhE3Jt3wxlH6quP+XoqV+HfBIAdFwbA1PxYsh3Xj6XVBnkj72mlYXDqOLj2lrvxHsH+9RE1IU1dO+17Opu5Yqgqr66jdv2hu7rK4dOtDx288JZTW15VSVQkXTyIMpyPQTQynQFS2+StjeZR5UMr0piFzkXZ+qNEWUMMi1MF3WdyiqnS7XPTNQB2pdJIZC4duw7ltkYi18aubFJPod7V14lX/z0/Nivb1cksjvANKkirQT0LDs1o4KGSYJR1uJ2UkQlYNksBRQlzozxIisIuFy9IExZ9zsrLlYScHnZVNtYEqfauC42e0nsnrS+p6jEJ29/vGN5+rV3mqq/eZ+BLgbqPgPbvz1Vp0Gw4zTPvx3dewZnvT+68y1599SvmzoDknaUm352Lp9LKEbene6miZW67Zu0r8L+npP8rdu8NmoVDRGR/cdaE0ZNrwHee0ed+7p9DiaxB/c7Tf5YXetvrTQcrFAX937E5vpJgifaQZx49+D2A9qV0qISO4PViJfPj16+9szZMdn8UqNlGd7jv/hA7l5+pVzZc7E2QVR1fLp2uf/a8c8/+V/KGDjzkqlyXd/0pn2ZceFkOfGrD0WkedJokoSHMiRLAGVg04a1uQfSnaOq9qfXntBVQbt35VUy57LOptfo3kdF17ZZNn9mZCK7iPqzsO0LfmBdbSJhP6vqwh7dgBD3qoC9LCfvJu1XyqsfPmo/VQUywiZ0Bidle0zacrX+rpbXr1jQI/esmDdxX+8vgvHErsNycHjUuDjF1voRuW3xFdzjAhZcHAPT8fZHlcjuj3W6uKeqLBzGHx+f339cttSPTExk9N7DSzSPurcdWj3YNA6y42fDEysOBZ/v76vTjcOv+/js0NXV/vP2/U2The5cOtCSzJ5WHgTjLEA52RZaCusr1bXNPj5nhhwcHpVD76l/f9O86D5Tk+uUafGOtDBRB2hPukIgJpZe3d2UQxTk79/Mcoyl1t8Vq03orSJ8bd8M5epoppbNnxn7te2MRHZHmCRVpJmAnkWnpknQyCrByES9MSI79h2L3UkRlYBluhSQCVVAVW3HU+SgeFkH5Mu631lysZJA1tWE4rLt8IxbbfzIiV/JA9/fNzHrWyTb70kXh+9dedXEPoTNWPd/BsF9CfsMkhyT7n3z/NtRbWvFgh7l8m1hFZzjMP3sXD2XUJy8O91N3zfsecGBDVUykKoDL+nfuq4qUVRF8aHVgzJ1cocy4Ug129ymfa479/3va9OZmcdgS/DakOb9CNXW0Q5Mk3/CBjOWXd0tvTMulK7O82Vyx3kt8SnYLlG1s4KCyej+wWOdDU+9LoOzLlH+bmT0A1m7araInIt1UW2XqHa593Pm7Jgykb2r8/yWY/CS2P3vN7e7M3ZfQpmSJQDX2bRhTe+BTOKIzb7479/9+2JzvquqXh4cHtX2FZrsl217KartFkzO9FcXNt2Orn+Be1Ugvqwm7ybpV0q7GEjS/VQlmOsmdJr0gdoU7nj2jeNyz4p5Riv/euIUPQKg5uIYWBjTmBbWBxisLBy1PRGR+57c3fIeqxbOmvh/1e+C8U/XZvW/VzB26r6fSR3nhe53sB/i0Z1vyda7ljStpBQ1cckU4yxAOXkr7NiyaZu9fOiEvKxYNcLjX9FSFzNMr1P+lYNMJrwnwUQdoD3FPffX1nrlpnk9oYnsflmOsWzctrepTbqm1isbFH0R/nv6L/+3PRPjRaoJpaZoH8ZHIntK8qookWaSRpqdmqZBI6sEoyhRSwWZdFKEBeos9l+1lG+cAbcshW1bpLUTIg8m5yKJBGquVhJwMTnNpsMzTrXx4GCKf9Z3mt9T8HzRdcJ5S96YzFiP8xnEPSbbz3Y89N2SUSUaqBLZVZJ0lNt8di6eSyhO3p3uqu0FK+CGbd8fr4Ixck2td6LdFFz6O2qQxrQNrzrHT/zqTNN5rtp/XeVM3Wxz0/a57tz3v++aWq9svWuJdhnisP1Og8lnm+b9SFYJG4ALbJN/VJUmn99/vOneUlc53WuX6NpZJoIT+pZd3T1Rfc2z9+gvlK9958SvJuLHqoWzItsupu3ydYv65R92NVeBr/VNlyt7LjY6pt2HTxhtR/ecuK8F0My2DWtyDxT3HM26Pe21bYLXgDW1XvnkvJ7QZPKo9/TY9md7r683RuTqyy+RTbdeI1MmdcReClh3Xcny3h1AfHH6lbIqBmKznyLSlDRkuk9RhY0ODo+GJsSHTUA3Gavyx2ibokcA9FwdAwsTtQLujn3HZOrkDtl06zWy+/AJZR9gWGXhoLDYNecy9ecUbDdHxU9VBfWwsa9r+2Zo+zZ1BYUODo/K2utnG01cssU4C1AuUXlCUUwKh0UJrmipi0W6OHjoveZVfr12ompVtLjWLx2QcZHcxgwBuE0V6y6fNlXePXU69HU3/abP0oY/zur6Km37b1X3/apVzZJeI/zmzeyU9cuuon2YEInsKci7srOLSRo2QcOfYHT05K9l1vQLMl1SwSTx0iSQqgK1fylI032xubFVLeUbVOSguG7b/iUxRZrPiSwnfZieiyQSqLlcSaDouBf8u7Xp8EyjUSXSPKCSxvcUtnT61MnnlgoKJoBGdUCKxPsMwo4pLGaEva+IWXWQNAX/TuNUcI6zTZu/h6LPJbgl70531fai2gX1xkjL4EaQN5jrJbOb/p3HbcP//Y9+3pIM+vmVze1B/7JjUZ2acWKTSWept4+3Lb5COdjjX20jKGl7jZVvgPTEnYTrj4X1xkhLRTVdXPVX/o3rnhXz5J4V8ybiyMHh0ZZEdhF1x+fOnw03VeuIih827fLv3n1TU3xet6hf6o0Ro2PSDZybtOPKmCwBuELVJklaWTwoyTmadXs6atCl1m9e/Tz4vmF9d2FU7by118+2ft+w6wzFJgB32fYrhSVEZlmwRzcZ6M6lA3L15eqVgYJ9tVHXgTNnW5OGTAp3RJnb3anc7zhLogNo5vIYWBhV7FUl3ayp9Ya+j0lMDSuesfTqbqPXRMU/VQX1sLGvdYv6W1Zs88bnRdQFheZ2d2Za1IxxFqAcTPKEonjxxH/f7e8LOPTeaGhV9KVXd7dUJtbFIt24j39Ckvd6z51LB2TrXUsmCpr4E+Y9wXbkDXNmyP/9r39LRKSpEMrc7k4m6gCYoOr33PCPu2Xzy29rX3Pm7JiInIszr4SsUuHntR2/uLneFKv8fYq2/bcmOVppXCP89h8jdqaBRPaEqOx8jm3QqPWfqzjsBTjTmeBxRA3A66qcqyp5JhmgipvQk+WAW1K6bQQ7DbxzIouZ7x6bc5FEAj2XKwnktfJFkO7cDVYSvq5vunK/0mpUeb8L3iCnVfns0Z1vybunft3UODz94ZjVAM68mep9MfkMVMcUFTfDZqYfeq/4CSuqY5o57YLUO8pdPm/hvrw73YPbC9u+zSxo1SzqMEmrwvk9t++4fH7lvIl/3/LwD5uWHbuub/pER6KuUzMsNumufyadpd7norpmLZs/c+KaEzb73La9xv0RkK40JuHq3iNYuWz9bwZDtrz69kSHoy1/2yZq//7tor7I5W+j4odtIsK6Rf2yblF/6OtVK4aoBs5N23G1/i4Sj4AYwtokabZhkyY0ZdmeNrkGeNuvN0YilykX0bdrTdprYe28YJ9f1PtG9S+0e7EJoCrCEiJPfzjWdK+pi3nfefncZMK0+j833XqN0b6GTSBfv3RApkzqUL5PVOEO3cpt3u+9/Qzu99a7lkQWPQIQrQp96bqkm631I9oVHDxxVh3yBBMxRZrHxfx9mMH76ihRY19h35uuLb/lVXWSFe1MoH0kKdQhci6eROW39M64MPQ9VLHT2zdVLFq1cJZ2LEp3zz23u3Oiv1PVf7nhN/vrXR9eOXRCntlzVIZWD2aavwOg/IL9nrOmXxD6/H/+yVHlhBqdtbVeOTg8Kn/zP34WOunHpv+23hjR5gr57/u9nNA00c5MjkT2hMpW2TlOIqjJa2wHffJMcNF1lqqqUKqqfgaT7HUDVGGfU1rHq9pGkRUEVNvWLeOmWjIzze/c5lwsa9WFvLhYSaCoyq66c3dud2dLJ9xrh082Levlsf17CxvM9f8uyfekO1+CHZzBczSsE1Pk3CzDJJ+B/5hM4mbYzHSdvCesBL+nrDrKXTxvgSTizIJOI6lTtYS3iLqDUPW6zS81lNeHn737i4nKv6oYpYtNUdc/f+KSLvbt2HdMuU9rHnmh5X3TaLOW7f4IcF0ak3B1zw1WTn9mz9Gm2KBK6FYtMXtzRNsmThKPX1T8SNq+Ml0xJO52Nm7b29TOXnp198QAEgC1vCfGha1MViTTa4Bpn0lUG1vVFvZ/FmGVlU3e19sH773D+hcoNgFUQ1hfYjCu6877J3Ydlid2HbbuD9bFrCmTOmKPDaxY0COrFs6SKZM6tBM/owp3iLQmXfpX/g1LvFx7/excr1FFFZYBslbWvnTvnHzxrfe0z/nkvB65bfEVsmPfMeX99pmzY5GTH4dWD8rUyR1G9+veuJhuUqOpQ+99NLak+350j+tiLUXNAITlCYmEjyeLiFzR3dmSkKkqDGc7eUdEWtqSXozXJV+G2fDU63JweFSGVg9q+zlVOQBzuzspSgTAStSYTtgK6343zJkh/ZdeJFvqR2RLxCRM77+rFs6KHJ8JK0y3YkGP0fOSoJ2ZXCkS2XcfHpFPLpxW9G4olekmKE4iqM1rbAZ180xw0Q2af/HT85ueFxaoohpsUZ9TGscbtg3vs/dXkc9L8HsXUS/jppPWd257Llah6kK7KLKyq+7c3X34hPb5Nh1pKroBnjQnW9hco4LH5B3Ld14+N4gUtGPfscjKwSbnXFjc9P47t7uzKf5FdTi4MmGlrB3lQJ7iVMrwD3hECWs3BNtcy+f3KJ/r53U66q4Puw+fkHWL+q1njJte/2r9rdV+bXjvm0abtUz3R0CR8kwKiYo93oBGMOa8dvikbLr1momlZb3nq9p0Ucegum88ODxqFLtM4kfS9pX3Wv9KFbqB8+Dzwqg+150/G5Yvbq7LA+tqsfcXqLo8+w2Dbb/gymRF0hWQ8LNpM0a1sVVtYZNlfKN4r1O999a7lshDz+5vWSHEle8AQHJhCZHBFSbCJrg8uvMtmTq5w3jCkS5mPb+/dexiXPE8VXx99o3jTfFKNfEzrHCHJ6yf1JV76qIKywBQM0228WJKrb9LTn841rL6mD8h01/YIhiPTCeei0RPajTx4PYDiVZvV8VaipoBCMsTCisO5NGN9wT7Mr0+1CMnfmUcO4+c+NXExKKkk4FEWisXm0xKt813AICw+3Zd0VuVVw6dkFcOnYh83t/+4E154+i/TPx7Ta1XO66iK+DxselT5X+dPD1xP399/wx5taHe9nV90+V3r+qWzbsOy/DoB0bH4lmxoIfYmYJSJLL/H9/cJXfd/EsnO0nKchMUJxE0zmuC1XT9idV5dMbpkgGiEihNqn7qGmwmn1PS4zXZhr+Bm+RmP45gY9im2l5aHbBxzkWSScuhyMquur/Pa/tmKJO4w/6ebf7eVJNT0jxW1fmyttarnO2oOiZvX1Sfgf8811UONhE22HTfk7tbtqH7O7l35VUy57JObZJYmklkVCkC0hMWT9cvHZCjgYoXImYDHmEVINfWekWktfq6yexxr+KF7vpwbd+Mif83ndhje/3zbtz9n4ttxeM02uhluT8CimSTFGIbC+LeE4dVrFx7/eymx+LeR3mvCx7/mlqvfHJej3LgJk78iNMmM/1ObBN6wlZCum3xFcRGQCOvJL4iJ86b8uK3l+zt/UTdC6uuE1FtbJHWtrDJMr5h7U0vjod91n93x43cTwMVZzo2EFVAwybRUTfhWzWJ0h/rbKphqiZ+msazsImTNhPgs4idZbg+Au0kzsqVIs39AGfOjhlVFfbia9TkoqTuXn6l7H/3F/K9nx5r2ac0Yw1FzQDo4sAze45GvlY33qPyzJ6j8nd33NgyiUjHNOHdhm6VNV1fwDsnfqV8nKJEAMIE25je/bCIuuit7UQfP38Su8hH9/OqZHYvtyrof5083fRvXRK7yLl7/OAKGzf0z5BXQl7juWfFvMjnIFopEtlF3O4kKcNNUJxE0CTJo8HB3WDnYhYJLmEDylEdeiZVP3UNNpPPKenxRm3DtY5F0yUz005qKsO5CHtFVqHRnbvrFvXLweHRRH/PYZN9vG1nmbSjqop54ldnjKugmXRkJolDpsn23jZ0fw9hkwDSrCxElSIgXbrqk95N4MHhUfnEwGXKG19d7FGdp/5B7S31I3LiV2eU+xOcRb7s6m7Z8bPhlu1uvWuJ9Fxyvhz/xUeztGdecr6sW9TfEqOjYmOc698D62py2+IrIttguvdNq41OmwzQs713s4kFUe2RsNhTZNKoP6m71t8VO37UGyMtVX1N2mQm34nXdre97w77/KhuBOjlNTEuj4nzaSUZBgeCou6FdZPSdW3sWn+XbHn1beV7+T8P0z4///t67xH23hSbAKrNJq6HFdDwmPY5fnJej/HKZQeHR2NVw/RP/Eyrf9DknjrLvsgiC8sAaGWzcmVwxVzvR9fOC8ZIf3wdWj0oc7s7WxLg/VYs6JHeGRca75/IuUqXDz/3pvb3NrHGpK1NOxNAMA6YTBDS5QPoCsM9+8ZxqTdGrFYST9vc7k754ua6coKSaoLnzp8Ny7yZnbL/2EfXmev6phMzAUTSta90uVW6tmgcW+tH5PxJHTJr+gUTuUCmqxfFYZLETkG39JQmkV3E7U4S12+C4gxKxx3I1jX8gp2LaSa4hA08BzsfVR16Uce0ttabeMA/7HijbrR12zhzdky2vPq2tjpIkeeM6pzII6nJ9XMR9oqu7Kr7u7X9e/af58G4lMYqCnEGL3RVMZfP75HPr5zXckybX2rI7sMn5Nq+GbJuUX/TZ3DovdHIJYJVwuJf8DPWzaLcse+YfPHT81uW872ub7qIyMTSbFGdFHET712bTAS4KE4CjyrOquKVSjD26M7TIN2SZ/esmCf3rJg3sS8Hh0dbEtlFzsUjfxK7iMixX3yg7TwME/f6Z9IGC6t4nLS95v+ug1WcAdgnhZjGgqTtEZeSRuPc0+k6KlXVNYOxLWqfojpBw9q7tX51JVARqhsBUfLoQ4rT92nTrk0ryTAsTq29frZV/F61cJZMndwhIh9N/K43RmTLq2/LmbNjytcEP484fX5FFikA4AZdnFAV+zApoGEy9mETY86cNaueqdtG2v2DYW3irPsiidmAW2zOPd2KuTbv4Y+vqiTOZVd3y3nnnSfP7ftotSDV2Iz/32trvXLTvB5lZfgg0301aWuz6g8AFZtVvlVt2JFfnlGu5BucqB2szn7DnBkiIvLKoROpH9PaWq/8/Y9+rp2gpJvg6U9iFzlXjbjeGCFmAohFd9+f9r3k5pfPJcY/uP2AdvwlS+uXDsjNFHTLRKkS2ekkMaeq+Ki6iQw7meIOZIfNDA92LqaVdKzbpmnFNNWxXj5tqrx76twSE1vqR2TmtAuUg0221USCj5vcaKu2cV3f9NRu9vNEojniKLqyq+7vNurv2YvFz+8/Htl4SjLYEGfwwts31SDNc/uOy+dXNi99c8vDP5y4hjyx67D8w66GfPfumyY+g3pjxGiJYD/T+Ocdgy6R3Tue4DI/rx0+KWseeUH5/mlWFqJKERAuSQKPPwaoYp2qs1CkNfbYVC5aPr+n6X397bq453RYdaMwaV7//J9lrT+84nHc9prpxCigncVJCjGJBWm0R1xLGjUdcI6qoqSqrmkyoD+3u9OoQpP/9ap99pa59F8LqNABmMm6D8m279OmXZtmkmFU7FQlp5vs/+kPx1riY7D/2CZehX1fRRcpAOCGYJwIW9k3qpqlydiHSUK8yLnEnymTOiyO5Bx/HMuzfzDrbRGzAbc8s+dorNf5256q81pXVTiqUJuINI27iJwbi7l7+ZUyMvrBRCEk1f1xVDVO01hj0tZmFV0AOrarfAfbsJ9fOU85NhUnfprqv/RCabz/K+3v+y69SFsB3r99E4xvA0hC1T8YVvDn3pVXSeP9X8ZORs87iV1E5GZfGxvpKk0iO50k5lQ3ZqsWzlIm+EXNposzkB2nyntStu+ranz5j1U1IzxssCnugL/NoFbU/gVxzqBqytYQiLN8TdwbQ9vBC5N9879280sN5TVk80sNWbeoX0TsBzjiDOovmz9TeRO+bP5MoyRV//unWVmIKkWAXpoJPLrzfMWCnqZK6l7s8Q+W2JyPn185Tz6/cl5ou04X83RxSnc8Jp9BVte/qOpuabRrn9t3XJ7bd5yBIsAnblJIVCxIqz3iStKozYBzVDtQNXEzakDf2yebQfawfX5gXU1uW3wFFToAB5n26enatXO7Oyfui/3Cim7YxgBdIuYze462VFw7/eGY8v1NVyh67fBJ2XTrNTJlUsfE55FWJcuiixQA7aBMlWdNVvb1foLVLNfWeifirH/yu+rYh1YPytzuTu14ytpar3xtXU3qjRGj/Q7GSE+e/YN5bIuYDbhBFyvvXXmV9M64MHKs2N//qDqv3xoeNSqC5+8r+JPHdym39fBzb4rIuUJIB4dHZdXCWS3P0a0A9PE5XfJ//etB41gTNSbGKroAwiSdtGfzen/8jOpnDBOWxB7Fi/lxJzQBQBpUBX/W1nrli5+eLyLSNH4SLLyRF9Pq7kz4yU4pEtm/9X/eKJ9cOKfo3YjkQieh7sbMq8oTZHJy2Q5k6wZXskystk0m0jW+vGPVNSJ37DuWauXKsBtt77/+bUXtn2q5IwD5M6ncqBL3xjBq8MJ/fRJRD1aHvefuwyeUz9l9+ETTgL3NAEecykFpVAPyL+uWVmUhqhQBemlWCdPFuntWzJN7VjQnnquSCVXn6biI9tyN2j9dzMuyMzDp/YbJ6+NWKwpLJGWgCGiWRVJImdojUcdvO+AcFk/XLx3QVteMGtAPe+97V17VVKXJZJ/LNjEXaCcm56eurbPhqdfl4PBoS3tJFz8e3H5ATn84Zj3Jb9XCWUaJ6MHY47X/Dr1nvkLRlEkdsvb62SKSfiVLYiGQnbJVnrVZ2dffVnt+/3HZUj8ycZ9959IBEZHQY1+3qF8ODo82PWfFgh65Z8W5FSm3vPq2zO3uVK6KG1ylIjh5yX+fnVd7PK+2PzEbKJ4uVs65zKxfMdgm9Z/XulVuw4rg1RsjTQVFdB7d+ZZy1Ubd/fnLh0bky/9tj3z37pu02/Xfr0eNibGKLoAoSftnbV7vXyU9iWBRJ09YXtTaWm9o/+fMaReUoj8ZQDUEk9m31I/IzGkXyNDqwaZ2qtfei5q0mab1Swdkw+pBuW3xFbJj3zEREe3EUSb8ZKcUiezX9rl/oXSlk9CkIq1fVieXf9lHkfBlbdPeZlQykUnjK2ywyZPGd6zbzvP7j8t9T+7Wbst2uSNPFpMtXJjAAbjGNhaLnItNIh8NnCSdQOTFuuD1afn8nsj3W7Gg+TnX9s2QJ3YdbnnetX0zlPtisu9xKwfpYr1uElXY+6eZREaVIkAtzSphUQO1UcmEW+9aojxPk5y7qpiXRWdgvTEiDz27v6mT0rYtGnW/Um+MyI59x2JXK4r6ThkoApplkRRSpvaIt2/BSpr+x4J0cUR1ffASk7xKbCphA/ph771+6cBElZC4+wygfMLaOqr2Utg9qld0xKa/1KafwYs9cVaKE2meFF90Jcu8+x3p50RZuXC+mvLOszeP/4v2OaqY6x2Hf9xExGxSj4i6ray6T95615Km54TFBZPXx2ESi8rU9gcQX5K+1aj+xzj3sXHGvkQ+WrVxTa1X+5zgKsAeXZ+mqh/Awyq6AEwk7Z81eX0whgUnSq6t9crIL8/Ic/uiJwmtWjhLrvnfpsvRk78WEZFZ0y9o6ldQFVn62m+SRnX7TJsSQJ7qjZGWiue6vgvdBMg03XhFlyy+8rKmWBqMk8FJ8Uz4yVYpEtld51InYViCc3D5xbgnl2mHfpKGX9xBA9NkIpP3iUqITOM7Vm1HVbVTVcktuKRF1PeZxWQLVyZwAK6J6gxbv3RAbg5M9nlmz1FZ88gLE88JO59UMdJbJnf34RNybd8MWbeoX3l90t0Ib7r1GvnnnxyV5/Ydl2ffOPfj7cO6Rf3yD7saTTfWtb7pEx2KcWJ2kspBuutLMN4HlxxSvX8aSWT+4/eq1gE4p9bf1dIxp1ui1oRJuy5sEGbt9bMziQMirbEwrc5AXQKSTVs06n4lKsnJdBWnsPYzA0VoR0Ukw5WlamLYvWScAeewOJu0YqVJDGeQHKi+qLaOqr00tHpQpk7uUFZFe3D7AXlw+wHjvjSbeDK3u9N4pbiw/sWiJ+nk3e9IPyfKrOjz1VTcCTaeOJN6/Pxt5bD7ZH//nq59bfp6WzaxqCxtfwDxRd3PBttya2u9ctO8HqN+iDj3sUnvcbfWj7Tss19wFeDNLzW0sda7V/eKfwTHtcqyah2A6lK1F187fFI23XqNTJnUMbHSkGfBrIvljaPqyZ7X9U1vqgp8p6LQhkkfpqq/mjYlgLzY9F3o2p1Lr+6WnT8bttrupxb0yP9QrGjx5//7YGT8Y8JPvkhkT4FLnYRhN7S1/q7EJ5eqsu/nV85L9TjTHDQwSS7c/FKjKfHT4w9Gh94bVQ46pfEdB4Oel9gatGPfsYltbdy2t+kmf02tVzasHtQmSmQx2cKlCRyAa3STVIIdiCYDJyaVfoZWDzY9/sSuw3JweFSuvvwS5f4Flx5bv3RArr78kpZlcfz78ImBy5oSUX9n4LLQ/TGRRaPPf7OdxnUvCgPdaEc2iZlxlqiNEtWpVkQyoUksiNMZGJWA5G+Lhn0vYfcrIuoKdn6mn11wAMnDQBHaUVFthDJUko1q+8ZJPFcdt/+xpO3OqBieNFkeQDl4E8htlpTVLe/tMe1LMym6IfLRsuFbXn079HmeT87rkdsWX6GMj0VO0sm735F+TpRdGSbVmU6wEdGPu9hO6onahs220369CrEIgIruflY1VhysvBsmzn2s7jX73v1FU19gmE/O65HeGRfKw8+92fI7/yrAYZOf/LE2uN1goru/oBQA5EnXXpwyqUPmdne2rDSkS2Jf9/HZsvnl5nt8XRsxrA+TMW0ARbPpuzAtDBx0w5wZ8sqhExP/Xr90QDYE8qm8x22KdHJPng8S2VPgWidhVCUy06qN3utFzjWyzpwda7lh9JYCS6uRk6SjLjhwbdIQu+XhH04kVz2x67D8w66GfPfumyZ+731e9caIctDJ5Ds2SSTwfy+6RHb/+wU/I6+jwt9h4T/eLDpVXZrAAbgoLBYH44Lp+aSLkXO7O5WPb7r1GuX73rNintyzYl7TPugGuXVJjmHbtRlcybrRl+X7h30fweUvgaqw7eiK215IkoiZdzJhlgPNUdXmvLZo1PcSdr8StQ3dZ6f7jmr9XfJ3d9xYimRaICtFJaBkPRiR1nltcm2wSTxXHbeIKD+LLD9/KnMA7WHdon6rJWVNEtBN+9LCKryLNC8bbtovrVpNKGzf85qkk3e/I/2cKLsyTKqzqaZ+5uyYbHn1beOVdsZFrI9dFydV21a1g8+cHVO+/sW33ovdFiQWAdAJttd0Y8W3Lb7CKl7EuY9VvabeGDFOZPeKz/1/B4ZDVwEOaz/78xdUvLjpX7XXZjUkAEhDknEZv1nTL1A+btNGZMIkABfY9l0E250Hh0dDE9m9pHXVPTzjN+VAInsKXOwkTJK4F2d5x6yTdaIaYcF9Vi1LFtzHzS81lBVCN7/UaElAjPsdx0kk0FVq8maK6z6jsOPNYrKFaxM4ABepYrEqLqxaOEv5+uD5pDv/dx8+oXx8yqSO0NhlWmnNdrtlGlxJkpCl+1w2PPW6HBwepUMUlROnoytOeyGNRMw8b0Zt2682cSfsc/Liucn3Eqcte+/Kq2TZ/JnK52RVgR6oiiISULIejEgzSd7k2mAaK3XHHaT6LLKYcEPsA9qDbVvTXw0ybqEMj67fcNOt1zT1Z6raf9f1TW/qCzXp2yxqkCfvfkf6OVEFrg/Kmp5P82Y2r3wRbHeqjnPjtr1N7zFusJ1n9hxteey6vukt2xZRT5CcMqlD+b6bX35bNr/8dqz2sm0sYgI50L7S7HeIcx8bfI2uYuaJX53Rrtr43btv0q6aHpbg6X+PsLhJ0iaALJkWs7QdlwnmOa1fOqDtB7C5X2XCJABX2PZdmLRVg2PaYUU7iHluI5E9Ja53EpqyWd4xKI1GTpxBg7AK5UH+fdQlYO4+fEJZSdf2O457gxzVoLVtkHqBOO3JFi5O4ACykOaAQFhcMDmfdOf/tX0z5Ildh1se9ypbmMSuOOd02HaLZPqdJU3ICjtOOkRRRXE6umxjS5oDDHndjNq0X23jjurzW7GgR+5ZMW/i2Ey/F11bVvcdffHT85XvyyAQEK2IZLg4MTppsnjc8143wO1NzvnP2/fLc/s+GugOi5U21Yv8nwVL6QJISlUV01tlUTUZ0Hv+6Q/HItvGYfFZ13Yz7cs0if3B5xQxyJN3vyP9nKgKlwdlVeeZZ97MTtl/7Fy7zvuvR9Xu9B9nnLaqbhwsWPgobIJkVNs+TnvZJhbRngXaW979DiZtSF3fY9hr1y3qV7ZjdcdhMnnTi5thqxC7eq0EUA427bCw+3JV0vqG1YNy2+IrWuJm0vtVJm8DcEncvgvbMW2UD4nsKXK5k9CUzSBwUBqNHJOOuuANr80++/dRl4B5bd+M0P0z/Y6TzGoMS5rXDfqrls/wH28Wky2qMoED0El7QCAsLpgMMIcNWIctbW4au2yTHG2XVDeRdOKA6XeWRkJW2ACcCB2iqJ64HV027YUyVoUwHWiOG3eiPj+b70V3Paj6dwTkrYhkONsYbdPO1Z33O/Ydi31MQ6sH5d1Tv54YrNlSPyJvDY+2JA+JtMZKf3vRph/Ce66rE3KoqAmUVzCmPrj9gDau+ttdZ86OyZRJHVJvjFhNtLFJEgq2/6L6B7JOjLSJdXn3O9LPCWSr3hiRqy+/RDbdeo1MmdQxEQPPnB1rqoKuEna/GeceNck4mMi5dvAXPz0/tF/Qe57tpFKTWORqexZAfvLsd7BpH6ramnHyJ5JO3hQhaRNANuK0w/xxMBhT19R65ZPzekLv40WS368yeRtAVdB/V20ksqOJyc3bpluvkWf2HNUuBZZUWNBR3SyvWjhL+T7BGYxehTfPukX98g+7Gk0D5VfP7FTeBMeR9AY57MZe9RnNnHZBZMMzi8kWVZjAAahkMSAQFRfCbmS9zkFdjEyrwWab5JjGdr2Bm+f3H2+K27YD5qbfWb0xIt95uXUik4h9IubQ6kGZ292pHHCjQxRVk6Sjy7S9UNYBBpNYmCQBPOzzS6sDsurfEZC3vDvTbGKBbTtXd34/uP2AnP5wLFaCY70x0rKSmiqJ3ePFSlUb+bq+6U2vva5vunxi4DLtZ+HihJyiK2qSRA/Ep6vqGxZXa/1d8syeo8o+TtP4HGy7pRFHsk6MjLOPefc70s8JZCPs/NdVzPULu9+Mc4+a9P7V3w5etXCWfH3HAfneT48Zvz4qHvpjkaqd5mJ7FkD+8uh3SNI+THqfaXN8ugR6kjYBpC1JO0wVU7fWj8hti69IdZxNh+RPAFVB/111kciOJlHVZb3ZzusW9bfcgMa5IdW9RhV0wm6WVTeiG37T8eev8DZz2gVNHYLfvfsmuf3vXpSdPxsWEZGfHRuVjdv2TjwnyU121jfIwc8o74YnA92ouiwGBEzjQlTnoK5hlnaDzXQ58STbDQ7c+NkOmJt8Z2HbE4k3kJVFZXrAVVm3N8o8wBAcUA7uc9oJ4P4YnWc7sMzfEZC3vDvTTGOBbYX1sH6CuAmOtlUw53Z3atvIQa8dPin3/95C7Wfh2oScoitqFp1ED5RdWDzT9R/ozvupkzus3ifq/WzjSJaJkUXHOgDFiTr/o9pgUfebce5Rda/Z9+4vmgo4hfEfw/plVykT2ZfNn9nymE081LXTXGvPAihO1v0OJu1D1Xhx1H2m6RgzSZsAXJOkHebCZESSPwEALiORHS2CN3UiEplsHmfgM+w1tlUmVDeiqgpvqiXJvST24HNUlZFsB3OLqMLHQDeQjqwGBLKu2puWPM5zXeU6v6gOUb+o7yxqe0kSMekQRTvJur1R1vPJpKJanARwm8GgvD6rsn5HQDswidFxKqwPrR6UqZM75MHtB1p+5610YxMLbNrUXqw0qdbpOTg8Kmuvn22cmF/khJwi2/4klgLJxan4G2cyT5i04kiWiZEu9HMAKEbU+a9qm62t9cpN83qM7zfj3KPqxpRUiezrPj5bNr/c2hYNOwZd+/KhZ/cr9ycYD6PaaS61ZwFUV1T7ULeSelj8ynuMmaRNAGlK0g5jMiIAAOFIZIdS8KYuLIkwzsBn2Gt0CeRRDbvgPpsMkIRVoktrMLdqN8i6725ud6esW9Rf0F4B6av1d8l1fdPltcMnJx67rm96KudzVFwo+kY2r4QWk8H7sA7RYOdmVOeBbnv/7sY++ezH+yIr3EUNhlUt3gNFKtv5ZBo3bQfX4wwG5aVs3xGAj8StsL5s/kxlIvsTuw7LE7sOWw0+h+2DZ8WCHrlnxbyJfbFpC0c916UJOUW2/UksBZLTxbOw/gPd+b1s/kw5/eGY9YC47v3OnB2TLa++nTjO/ezdXySOl0X3cwAojknhiasvv0Q23XqNTJnUETvWxLlHVY2DqfoWb144S5nI7j82k/alLlE++F4i0e00l9qzAKorbMwlzipD3nOCr2EyNYAyidsOYzIiAADhSGSHMV0SYZyBz7gJ5DYNO5MBEtvBkioM5pou16aj++42PPX6RHV8wDVx/u7rjZGmJHYRkdcOn5R6YySX1RWKvJHNK6HFdOlgm8T6sM4D3faikthZhQLtKGl7od3YxE3TwfU4g0HB6m18hwB0wiqs69p8UcnntoPPYftw78qr5Iufnh+5/fVLB2RcJFa72ZUJOUW2/UkshavK0I7x9vHM2TFl+yys/yDqvPfeb9n8mUbH/8yeoy2PXdc3XTY89frEv6NWwhQJ7/NTvY+Novs5ABQn7PxX9bmtvX52Ebs5Qde3aBLDotqXuji7YkFPy+tM2mmutGcBVJsuLsZZZYjJ1ACqIm47jMmIAADokcgOI2FJhHEGPuMmkNs07EwGSHTP0VWaK/tgbhrJmGGfAbPm4aK4f/dxO9TSGnAv8kY2TlyPc9yqGKxaOtj2u9B1HsQZOM+rOj3gkiInb5QhaUnFJG7aHlucwSAPE3AAmIhz3+u1Ub/z8rkq7EG2g8+6fVg2f2bo9oPx1KTd7PI1pqi2P4mlcFEZ2jHBfdQJi4mq8z74vqc/HIs8H1X3rCLSMjE/aiVMEbN+zyT3w3FjncvxG4AZ1fnvcp+bqm8xjfaaLs7es2Kech9M22nESQBZU8XFNFcZSmP8nVgIoCyYjAgAgBqJ7BWUxY1aWBLh2utnWw98Jkkgt2nYmXQuJqmwEUea34/Ne6XVMRxVhY9Z83BJkr/7OMncaQ+4F3Uja5vQkuS4TeJ0mpUibQedqBCCdlPkQHKeSUtpt5d1E3O8wfn/vH2/PLfvo+XDTY4t7mCQy8kAANwSN4nZ+70qkd22fRZnH1Rt5Kh2cxmuMUW1/akEBZeUoR2jSxxXOfTeaOiqbv7zPu6x20x+jFoJM6rPz7/NuJOGbGNdGSY2ADATPP/L2OeWtL1m2/Y1aacRJwEUJSym1fq7lPErq8nUxEIAAACg/Ehkr5isbtSikgjDOtR0Axh5JZCbdC5mVWHD430Gz+8/LlvrRyYeT/L9mH7X3rYPvZdex/DQ6kGZ293ZtLSwp+xV61EtSQZEbDvUyjDgbsM0BqZx3FFxOu3OTZtBpzST6IEyKGogOc8YmlV7eWj1oLx76tcTbb0t9SPy1vBoSzVMEfWxBdvMtf4uWVPrbWo7Rg0GiZQnGYAqSYAb4t73ptk+yzqRugrXmKxRCQquKEM7xiZx/MHtB+TB7QeMYkHcY7e5N/3h/mHl4zv2HZvYRtTKG2HbTDsGVq2fBUCzIvrcXLgPtW37hrXTiJMAkkgjJobFNF38SrsPgFgIAAAAVAOJ7BWS5Y2aySC16oY0agAj6wTypNIYzA1bbjju92P6XZssdRy3Y3jdon45ODzKEuRwWtIBEZt4VIYBd1smMTCv4y7q2pBVhRDAVUVN3kgSS4pYoUb33v6kcxFRJrF7/MemajOLSNP7ran1yoaIdrRIOSbguJbo6UIyA1CkYDypN0Zkx75jInJuFQiTCpFnzo7JlEkdLZWHTc8vVUxL69zMq73K4DmQXBnaMXH2xSQWxD123T3rUd8ES88rjRPK93hw+wE5/eHYRHvM209VIru36lBQFjGwiv0sAD6Sd5+bS/ehaU0iJE4CiCvNmBgnpqU5mZpYCAAAAFQDiewVkvWNmm0SYZIBjCyrgeWZqGKy3HCc78fkuzbZdtKOYZcmHQAqaQyImMajMgy4xxUWN5Met+69VY8XVSmSWId2UtTkjbixxHbQRdeG8lehjMumOqfIR8emazMHba0fkdsWX5H6iiJ5cy3R06VkBsAFwXMiqpJwrb9LntlzVHkeJTm/0jw382qnM3gOJOd6O0ZEvY8momJBkmNX3bNuefXtlkR2EZEVC3rk2TeOtzwebI+p9mdtrVe+tq6mPT7d43Enpla5nwXAOXn1ubl2H5oW4iSAONKIiS4VhSAWAgAAANVAInuF5HGjZpNE6OIgbt6JKiYJTcHvx+Tm3+S71m373pVXyZzLOlPrXGAJcrgurwGRMgy4x2Gyskbc49a9t4tJhcQ6tJMiJm/EiSVxBl10bahgFco4bNrc/mOzSYA3bUe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      "text/plain": [
       "<Figure size 3000x400 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = torch.randn(300, 2)\n",
    "n_steps = 8\n",
    "fig, axes = plt.subplots(1, n_steps + 1, figsize=(30, 4), sharex=True, sharey=True)\n",
    "time_steps = torch.linspace(0, 1.0, n_steps + 1)\n",
    "\n",
    "axes[0].scatter(x.detach()[:, 0], x.detach()[:, 1], s=10)\n",
    "axes[0].set_title(f't = {time_steps[0]:.2f}')\n",
    "axes[0].set_xlim(-3.0, 3.0)\n",
    "axes[0].set_ylim(-3.0, 3.0)\n",
    "\n",
    "for i in range(n_steps):\n",
    "    x = flow.step(x_t=x, t_start=time_steps[i], t_end=time_steps[i + 1])\n",
    "    axes[i + 1].scatter(x.detach()[:, 0], x.detach()[:, 1], s=10)\n",
    "    axes[i + 1].set_title(f't = {time_steps[i + 1]:.2f}')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
